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Commutative Algebra: more books (100)

Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics) by David Eisenbud, 1995-03-30
Undergraduate Commutative Algebra (London Mathematical Society Student Texts) by Miles Reid, 1996-04-26
Introduction To Commutative Algebra (Volume 0) by Michael Atiyah, 1994-02-21
Combinatorial Commutative Algebra (Graduate Texts in Mathematics) by Ezra Miller, Bernd Sturmfels, 2005-06-21
Steps in Commutative Algebra (London Mathematical Society Student Texts) by Rodney Y. Sharp, 2001-02-15
Computational Commutative Algebra 1 by Martin Kreuzer, Lorenzo Robbiano, 2010-11-30
A Singular Introduction to Commutative Algebra by Gert-Martin Greuel, Gerhard Pfister, 2007-12-04
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) by David Cox, John Little, et all 2006-02-24
The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics) by David Eisenbud, 2005-02-01
A Course in Commutative Algebra (Graduate Texts in Mathematics) by Gregor Kemper, 2010-12-29
Basic Commutative Algebra by Balwant Singh, 2010-12-31
Combinatorics and Commutative Algebra (Progress in Mathematics) by Richard P. Stanley, 2004-10-15
Introduction to Algebraic Geometry and Commutative Algebra (IISc Lecture Notes Series) by Dilip P. Patil, Uwe Storch, 2010-03-31
Geometric And Combinatorial Aspects Of Commutative Algebra (Lecture Notes in Pure and Applied Mathematics)

lists with details

Commutative Algebra - Wikipedia, The Free Encyclopedia
commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and
http://en.wikipedia.org/wiki/Commutative_algebra

Extractions: Jump to: navigation search This page deals with the area of study. For algebras which are commutative, see algebra (disambiguation) Commutative algebra is the branch of abstract algebra that studies commutative rings , their ideals , and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings , rings of algebraic integers , including the ordinary integers Z , and p-adic integers Commutative algebra is the main technical tool in the local study of schemes The study of rings which are not necessarily commutative is known as noncommutative algebra ; it includes ring theory representation theory , and the theory of Banach algebras The subject, first known as ideal theory , began with Richard Dedekind 's work on ideals , itself based on the earlier work of Ernst Kummer and Leopold Kronecker . Later, David Hilbert introduced the term ring to generalize the earlier term number ring . Hilbert introduced a more abstract approach to replace the more concrete and computationally oriented methods grounded in such things as complex analysis and classical invariant theory . In turn, Hilbert strongly influenced
A Course In Commutative Algebra
A Course In commutative algebra. Click below to read/download chapters in pdf format. PDF files can be viewed with the free program Adobe Acrobat Reader.
http://www.math.uiuc.edu/~r-ash/ComAlg.html
Front: Math.AC Commutative Algebra
Articles cover commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and
http://front.math.ucdavis.edu/math.AC

Extractions: journals ... iFAQ math.AC Commutative Algebra Calendar Search Atom feed Search Author Title/ID Abstract+ Category articles per page Show Search help Recent New articles (last 12) 12 Mar arXiv:0803.1645 Betti numbers of graded modules and the Multiplicity Conjecture in the non-Cohen-Macaulay case. Mats Boij , Jonas Soderberg math.AC math.AG 12 Mar arXiv:0803.1535 Equations of 2-linear ideals and arithmetical rank. Marcel Morales math.AC math.AG 11 Mar arXiv:0803.1332 Cohen-Macaulay admissible clutters. Huy Tai Ha , Susan Morey , Rafael H. Villarreal math.AC math.CO 11 Mar arXiv:0803.1208 Systems with the integer rounding property in normal monomial subrings. Luis A. Dupont , Rafael H. Villarreal math.AC math.CO 10 Mar arXiv:0803.1110 On the Computation of the Topology of a Non-Reduced Implicit Space Curve. Daouda Niang Diatta (XLIM), Bernard Mourrain (INRIA Sophia Antipolis), Olivier Ruatta (XLIM). math.AC cs.CG cs.SC 10 Mar arXiv:0803.0998 AB-Contexts and Stability for Gorenstein Flat Modules with Respect to Semidualizing Modules. Sean Sather-Wagstaff , Tirdad Sharif , Diana White math.AC
Commalg.org - The Center For Commutative Algebra
a website devoted to the collection and dissemination of information relevant to the commutative algebra community.
http://www.commalg.org/

Extractions: @import "/style.css"; commalg.org is a website devoted to the collection and dissemination of information relevant to the commutative algebra community. recent news We've posted a conference announcement for a Macaulay2 workshop in June . Participation is by application/invitation, and the deadline is very soon, so check it out. In other Macaulay2 news, we received the following from Dan Grayson: Dear Colleague, Macaulay 2 is a computer program devoted to supporting research in algebraic geometry and commutative algebra. We've been working hard on the latest release of Macaulay 2, and now version 1.1 is ready for download from our website. We hope you will try it out. You can download it here. Installation is easy. Versions have been compiled specifically for the following GNU/Linux systems: generic Linux, Ubuntu (32 bit and 64 bit), Debian (32 bit and 64 bit) both with *.deb files, Fedora 7, Fedora 8, and Red Hat Enterprise 4, with *.rpm files; for the following Macintosh OS X systems: 10.4 and 10.5 on Intel 32 bit, 10.5 on Intel 64 bit, and 10.4 on the Power PC; and on Microsoft Windows with the Cygwin compatibility package installed. Automatic installation and updating from our repositories is possible for Debian, Ubuntu, and Microsoft Windows with Cygwin. Documentation has been improved, with every function documented. Browse the latest version at our web site.
Commutative Algebra Authors/titles Recent Submissions
commutative algebra. Authors and titles for recent submissions Subjects commutative algebra (math.AC); Rings and Algebras (math.RA)
http://arxiv.org/list/math.AC/recent
13: Commutative Rings And Algebras
A commutative algebra is a commutative ring which contains a field (usually as a subring over which the entire ring is finitelygenerated).
http://www.math.niu.edu/~rusin/known-math/index/13-XX.html

Extractions: POINTERS: Texts Software Web links Selected topics here Commutative rings and algebras are sets like the set of integers, allowing addition and (commutative) multiplication. Of particular interest are several classes of rings of interest in number theory, field theory, algebraic geometry, and related areas; however, other classes of rings arise, and a rich structure theory arises to analyze commutative rings in general, using the concepts of ideals, localizations, and homological algebra. A commutative ring is a set endowed with two binary operations "+" and "*" subject to familiar associative, commutative, and distributive laws. (It is usually but not universally assumed that the rings contain an identity element "1" for multiplication.) Examples include the rings of integers in algebraic number fields; here, the interest is number-theoretic: common questions concern factorization and the class group, the action of the Galois group, and the structure of the group of units. A commutative algebra is a commutative ring which contains a field (usually as a subring over which the entire ring is finitely-generated). Examples include coordinate rings of algebraic varieties, that is, quotients of polynomial rings over a field; here, the interest is geometric: how are the local rings different at singular points, and how do subvarieties intersect? In some sense the theory of commutative rings and algebras can be seen as the search for common features of these two classes of examples, and the effort to explain features of a general commutative ring as being like these two types. We can clarify these fields of inquiry by reviewing the subfields of section 13.
2005 Fall Central Section Meeting, Program By Special Session
www.ams.org/amsmtgs/2117_program_ss14.html 13-XX13-XX Commutative rings and algebras. 13-00 General reference works (handbooks, dictionaries, bibliographies, etc.) 13-01 Instructional exposition
http://www.ams.org/amsmtgs/2117_program_ss14.html
Mathematical Sciences Research Institute - Commutative Algebra
A yearlong programme at the Mathematical Sciences Research Institute, Berkeley, California, USA; 19 August 2002 to 16 May 2003.
http://www.msri.org/calendar/programs/ProgramInfo/17/show_program

Extractions: Choose a Destination... Calendar Programs Workshops Summer Grad Workshops Seminars Events/Announcements Application Materials Visa Information Propose a Program Propose a Workshop Policy on Diversity MSRI Alumni Archimedes Society Why Give to MSRI Ways to Give to MSRI Donate to MSRI Planned Gifts FAQ Staff Member Directory Contact Us Directions For Visitors Pictures Library Computing SGP Streaming Video / VMath MSRI in the Media Emissary Newsletter Outlook Newsletter Subscribe to Newsletters Books, Preprints, etc. Federal Support Corporate Affiliates Sponsoring Publishers Foundation Support Academic Sponsors A significant development over the last 20 years is the role that commutative algebra is taking as a tool for solving problems from a rapidly expanding list of disciplines. In oversimplified terms, the process could be described as follows: Mathematicians with various backgrounds discover ways of encoding information of interest into commutative rings and their modules, then use algebraic concepts, methods, and results to analyze that information efficiently. A famous example of such encoding is the translation of an abstract finite simiplicial complex into an ideal represented by the zeroes of square-free monomials in a set of variables corresponding to the vertices of the simplicial complex. Of course, the existing body of work in commutative algebra is not tailored to suit all new demands. This is precisely where the subject benefits most from the recent surge of external interest, as it receives an influx of novel questions, points of view, and expertise.
Mathematical Sciences Research Institute - Computational Commutative Algebra
This workshop is about computational commutative algebra understood in a broad sense, including both theory and its practice in fields related to
http://zeta.msri.org/calendar/workshops/WorkshopInfo/200/show_workshop

Extractions: Choose a Destination... Calendar Programs Workshops Summer Grad Workshops Seminars Events/Announcements Application Materials Visa Information Propose a Program Propose a Workshop Policy on Diversity MSRI Alumni Archimedes Society Why Give to MSRI Ways to Give to MSRI Donate to MSRI Planned Gifts FAQ Staff Member Directory Contact Us Directions For Visitors Pictures Library Computing SGP Streaming Video / VMath MSRI in the Media Emissary Newsletter Outlook Newsletter Subscribe to Newsletters Books, Preprints, etc. Federal Support Corporate Affiliates Sponsoring Publishers Foundation Support Academic Sponsors HOME ACTIVITIES CORP AFFILIATES ABOUT COMMUNICATIONS Calendar ... Events/Announcements March 13, 2003 to March 15, 2003 Organized By: Serkan Hosten, Craig Huneke, Bernd Sturmfels (chair), and Irena Swanson Parent Programs: Commutative Algebra Participant List: View a List of Registered Participants This workshop is about computational commutative algebra understood in a broad sense, including both theory and its practice in fields related to commutative algebra, such as combinatorics, algebraic geometry, group theory and their applications. It will include talks by Gert-Martin Greuel, Lorenzo Robbiano, and Michael Stillman, followed by a panel discussion on software for commutative algebra. The rest of the workshop will be in standard format, with invited lectures and time for discussions and computer explorations.
Combinatorial Commutative Algebra
Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics.
http://www.math.umn.edu/~ezra/cca.html

Extractions: Even though we can't make changes to the first printing of the published version, we still want your comments and corrections! That way, future published printings will be improved over this first printing. Please do take a look at the CURRENT LIST OF CORRECTIONS (in TeX DVI gzipped PostScript , or PDF ) and email Bernd or me all your comments and corrections. Springer does not allow us to make the book available online anymore, because it is now available in print. You can, however, download just the title page, preface, and contents as a PDF file or a PostScript file . Alternatively, you can download the frontmatter and backmatter section by section-see below.
JCA
Journal of commutative algebra publishes substantial results in the area of commutative algebra and closely related fields including algebraic number theory
http://rmmc.asu.edu/jca/jca.html

Extractions: RMMC Journal of Commutative Algebra publishes substantial results in the area of commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation theory, semigroups and monoids. The journal also publishes substantial expository/survey papers as well as conference proceedings. Any person interested in editing such a proceeding should contact the managing editor.
Commutative Algebra
I will be using the book by Matsumura, commutative algebra (Mathematics Lecture Notes Series ; 56), BenjaminCummings Pub Co; 2d ed edition (July 1980).
http://www.math.columbia.edu/~dejong/commutative_algebra/

Extractions: Home page of A.J. de Jong The topics we will discuss are: Spectrum of a ring, elementary properties, flat and integral ring extensions, going up and going down, constructable sets and Chevalley's Theorem, graded modules, Artin-Rees theorem, dimension theory of Noetherian local rings, dimension theory of finitely generated k-algebras and transcendence degree, Hilbert Nullstellensatz. We will attempt to motivate the theory by giving examples from algebraic geometry, but the theorems discussed in the lectures will be theorems of commutative algebra. I will be using the book by Matsumura, Commutative Algebra (Mathematics Lecture Notes Series ; 56), Benjamin-Cummings Pub Co; 2d ed edition (July 1980). It is the book I learned this material from. This book is out of print. On the other hand, you can find all the material covered in any reasonable commutative algebra books. It is a good idea to choose one and stick to it however. Come and find me in my office if you are not sure which books to look at; I have a bunch of them available for you to look at. Another possibility is to use the lecture notes by Professor Robert Friedman from his previous years teaching this course. They are available to registered students through courseworks. It is strongly encouraged to go to the lectures, which are on Tuesday and Thursday 2:40-3:55 in Mathematics 520.
Homological Conjectures In Commutative Algebra
Speakers. CY. Jean Chan (University of Arkansas) Sankar Dutta (University of Illinois at Urbana-Champaign) Florian Enescu (Georgia State University)
http://www.math.utah.edu/~spiroff/paulfest.htm
Commutative Algebra -- From Wolfram MathWorld
The term commutative algebra also refers to the branch of abstract algebra that studies commutative rings. commutative algebra is important in algebraic
http://mathworld.wolfram.com/CommutativeAlgebra.html

Extractions: Commutative Algebra Let denote an -algebra, so that is a vector space over and Now define where . An Associative -algebra is commutative if for all . Similarly, a ring is commutative if the multiplication operation is commutative, and a Lie algebra is commutative if the commutator is for every and in the Lie algebra The term "commutative algebra" also refers to the branch of abstract algebra that studies commutative rings . Commutative algebra is important in algebraic geometry SEE ALSO: Abelian Group Abstract Algebra Commutative Commutative Ring Portions of this entry contributed by John Renze REFERENCES: Atiyah, M. F. and MacDonald, I. G. Introduction to Commutative Algebra. Reading, MA: Addison-Wesley, pp. 9-10, 1969. Cox, D.; Little, J.; and O'Shea, D. Ideals, Varieties, and Algorithms: An Introduction to Algebraic Geometry and Commutative Algebra, 2nd ed. New York: Springer-Verlag, 1996. Eisenbud, D. (Ed.). Commutative Algebra, Algebraic Geometry, and Computational Methods.
UNL | Math | Events | Special | Commutative Algebra: Connections With Algebraic
The goal of this meeting is to bring together researchers from commutative algebra and those in algebraic topology and representation theory whose research
http://www.math.unl.edu/events/special/lucho_fest/

Extractions: var navl2Links = 0; //Default navline2 links to display (zero based counting) Skip Navigation Search: UNL Web UNL People Worldwide Go UNL Quick Links About UNL Academic Calendar Administrative Units Apply for Admission Colleges and Departments Gifts to Your University News Office of the Chancellor Parents Association UNL Fact Book UNL Policies UNL Today UNL Events more ... Undergraduate Admissions Graduate Studies Extended Education College of Law more ... WAM! MyUNL Schedule of Classes Libraries Student Involvement more ... ESS Human Resources The Scarlet Academic Senate Notes more ... Office of Research Technology Development Rental Space at UNL more ... Huskers Alumni Lied Center NET Ross Theatre Sheldon Gallery State Museum UofN Press Quilt Study NU Foundation NU System Go Your browser does not appear to support JavaScript, or you have turned JavaScript off. You may use unl.edu without enabling JavaScript, but certain functions may not be available. Commutative Algebra:
FUZZY COMMUTATIVE ALGEBRA
This book is the first to be devoted entirely to fuzzy abstract algebra. It presents an upto-date version of fuzzy commutative algebra, and focuses on the
http://www.worldscibooks.com/mathematics/3929.html

Extractions: This book is the first to be devoted entirely to fuzzy abstract algebra. It presents an up-to-date version of fuzzy commutative algebra, and focuses on the connection between L -subgroups of a group, and L -subfields of a field. In particular, an up-to-date treatment of nonlinear systems of fuzzy intersection equations is given.
Commutative Algebra And Algebraic Geometry Seminar
UC Berkeley. commutative algebra and Algebraic Geometry Seminar. Spring 2007. Tuesdays, 345600 939 Evans Hall. Organized by David Eisenbud and Brian
http://math.berkeley.edu/alg/

Extractions: Berkeley-Stanford Algebraic Geometry Colloquium : Kisin and Hacon, Berkeley (MSRI), Simons Auditorium David Eisenbud Projections and the Regularity of Powers Carl Miller p -adic etale sheaves on characteristic- p curves Mauricio Velasco Picard-graded betti numbers and Cox rings David Morrison Matrix factorization in the twenty-first century Dan Abramovich Tame stacks and reduction of covers Brian Osserman The past, present, and future of limit linear series Daniel Robertz Janet's algorithm for modules over polynomial rings Aleksey Zinger On the structure of certain natural sheaves in Gromov-Witten theory Robin Hartshorne Gorenstein liaison of varieties in projective space, recent results and questions Alina Marian The level-rank duality for nonabelian theta functions Dustin Cartwright Hilbert scheme of points Roya Beheshti Generic projections of projective varieties Edward Carter Matrix pencils, 0-regular sheaves, and rational normal scrolls
NCAlgebra Homepage: NonCommutative Algebra Software, Examples And Links To Other
SOME ACCOMPLISHMENTS OF NON COMMUTATIVE COMPUTER ALGEBRA. This part of the site contains examples of problems which have been investigated with the aid of
http://math.ucsd.edu/~ncalg/

Extractions: TROUBLE SHOOTING and FAQ about trouble ... Misc. References Dell Kronewitter's Ph.D. thesis in postscript or pdf Links to other NCAlgebra sites Our NonCommutative Algebra Packages run under Mathematica NCAlgebra and NCGB download . If you have any trouble getting our software, then send us email at ncalg@ucsd.edu NCAlgebra For an introduction to NCAlgebra see the short tutorial of some of the most basic commands in HTML or a Mma notebook ; or a brief Demo of NCAlgebra Mathematica Notebook (you need Mma to read it and you must load NCAlgebra to run it). Also the palette NCPalette for NCAlgebra contains the main NCAlgebra and NCGB commands, so is informative. The rather extensive NCDOCUMENT is available in Pdf NCGB Computes NonCommutative Groebner Bases and has extensive sorting and display features as well as algorithms for automatically discarding "redundant" polynomials, as well as "kludgy" methods for suggesting changes of variables (which work better than one would expect). NCGB runs in conjunction with NCAlgebra. A very brief
MATHnetBASE: Mathematics Online
Packed with contributions from international experts, commutative algebra Geometric, Homological, Combinatorial, and Computational Aspects features new
http://www.mathnetbase.com/ejournals/books/book_summary/summary.asp?id=4580
Main Page - Commalg
This is Commalg (the commutative algebra and Algebraic Geometry wiki). Much of it is patterned on the Group Properties Wiki.
http://commalg.wiki-site.com/

Extractions: The Commutative Algebra/Algebraic Geometry Wiki (pre-pre-alpha) Jump to: navigation search This is Commalg (the Commutative Algebra and Algebraic Geometry wiki). Much of it is patterned on the Group Properties Wiki It is currently in a very preliminary stage and may contain a number of factual errors. It is meant only for private use. It may never become sturdy enough for public use! Other wikis on the same pattern: Retrieved from " http://commalg.wiki-site.com/index.php/Main_Page Views Personal tools Navigation lookup request/feedback Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 23:31, 4 January 2008. This page has been accessed 352 times. About Commalg

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