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         Commutative Algebra:     more books (100)
  1. Introduction to Commutative Algebra by Michael Francis Atiyah, I. G. MacDonald, 1994-01
  2. Commutative Algebra: Chapters 1-7 by Nicolas Bourbaki, 2004-03-16
  3. Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics) by David Eisenbud, 1999-02-11
  4. Combinatorics and Commutative Algebra (Progress in Mathematics) by Richard P. Stanley, 2004-10-15
  5. Steps in Commutative Algebra (London Mathematical Society Student Texts) by Rodney Y. Sharp, 2001-02-15
  6. Undergraduate Commutative Algebra (London Mathematical Society Student Texts) by Miles Reid, 1996-04-26
  7. Commutative Algebra (London Mathematical Society Lecture Note Series) by J. T. Knight, 1972-01-28
  8. An Introduction to Commutative Algebra and Number Theory by Sukumar Das Adhikari, 2001-12-15
  9. Computational Methods in Commutative Algebra and Algebraic Geometry by Wolmer Vasconcelos, Wolmer V. Vasconcelos, 2004-07-12
  10. Introduction to Commutative Algebra and Algebraic Geometry by Ernst Kunz, 1985-01
  11. A Singular Introduction to Commutative Algebra by Gert-Martin Greuel, Gerhard Pfister, 2007-12-04
  12. Combinatorial Commutative Algebra (Graduate Texts in Mathematics) by Ezra Miller, Bernd Sturmfels, 2005-06-21
  13. Computational Commutative Algebra 2 by Martin Kreuzer, Lorenzo Robbiano, 2005-08-22
  14. Commutative Algebra, Vol 2 by O. Zariski, Pierre Samuel, 1976-03-29

1. 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/
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Welcome to commalg.org!
commalg.org is a website devoted to the collection and dissemination of information relevant to the commutative algebra community. recent news On August 29, Hurricane Katrina hit the Gulf Coast of the United States. Damage was especially severe in Louisiana; a majority of the New Orleans area is flooded, with some parts under 20 feet of water. Our colleagues in the affected areas, particularly those at Tulane University, could use our help. If you can offer a place to stay temporarily, or need a seminar speaker or two in the next couple of weeks, let us know (email at webmaster@commalg.org ) and we'll put you in touch. Also, we'd like to collect reports of people who are ok, as well as those who could use a little help. We're thinking of you. update 1 Sept: We've heard from Tulane colleagues Christine Cumming and Brent Strunk (in Dallas), and Tai Ha and his wife (in Houston). Everyone is OK. update 12 Sept: Tulane has cancelled classes for the fall semester. More recent news from the commalg community.

2. 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/preprints/
@import "/style.css";
Preprints
Announcement (30 June 04): This section of commalg.org is recently retired , meaning that we are no longer updating it and will eliminate it altogether in the not-so-distant future. The retirement is motivated by the success of the Commutative Algebra (AC) section of the arXiv preprint server . Check our FAQ for general information on the arXiv and, in particular, for easy instructions for subscribing to email announcements of new articles. Below are the most recent additions to our files. Click on a name to see the announcement. Click here for previous months' preprints. Nagel-Roemer : Extended degree functions and monomial modules, June 22, 2004
Knaf
: Regular local algebras over a Pruefer domain: weak dimension and regular sequences, June 22, 2004
D'Andrea-Sombra

Singh-Swanson
: Associated primes of local cohomology modules and of Frobenius powers, June 22, 2004
Singh
: p-torsion elements in local cohomology modules; Associated primes of local cohomology modules, June 22, 2004
Chan-Huang
: Module structure of an injective resolution, June 22, 2004

3. Home Page Of Robert B. Ash
Three books by Robert B. Ash (chapters in PDF) Abstract Algebra The Basic Graduate Year, A Course In Algebraic Number Theory, and A Course In commutative algebra.
http://www.math.uiuc.edu/~r-ash/
Robert B. Ash
Professor Emeritus, Mathematics
Dept. of Mathematics
University of Illinois
1409 W Green St.
Urbana, IL 61801

email r-ash [at] math [dot] uiuc [dot] edu
Remarks on Expository Writing in Mathematics

Click to read/download Remarks in pdf format
Books On Line
Abstract Algebra: The Basic Graduate Year
This is a student-oriented text covering the standard first year graduate course in algebra.
Solutions to all problems are included and some of the reasoning is informal.
A Course In Algebraic Number Theory
An introduction to the subject, covering both global and local fields. The prerequisite is a standard graduate course in algebra. A Course In Commutative Algebra Commutative algebra is the theoretical foundation of algebraic geometry and algebraic number theory. Assuming as prerequisite a standard graduate algebra course, we attempt to reach an advanced level quickly and efficiently. Complex Variables Co-authored by W.P. Novinger (retired), Florida State University. This is a student-oriented text covering the standard first year graduate course in complex variables. Solutions to all problems are included.

4. Sundry Algebraic Geometry And Commutative Algebra Sites
A list of personal home pages.
http://www.math.unl.edu/~bharbour/alggeom.html
I have compiled this list from a number of sources; if you know
of addresses (your own or others) involving Algebraic Geometry
or Commutative Algebra that I could include, please send me a note!
Paolo Aluffi

Kevin Coombes

Duke archive

Brian Harbourne
...
Mika Seppala

Mail Comments to: bharbourne@unl.edu

5. 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
Fri 16 Sep 2005 Search Submit Retrieve Subscribe ... iFAQ
AC Commutative Algebra
Calendar Search
Authors: All AB CDE FGH ... U-Z
New articles (last 12)
16 Sep math.AC/0509340 Finiteness of extension functors of local cohomology modules. Mohammad T. Dibaei , Siamak Yassemi . 5 pages. AC AG
13 Sep math.AC/0509247 Truncated Groebner fans and lattice ideals. Niels Lauritzen AC AG CO
12 Sep math.AC/0509209 Combinatorial shifting and graded Betti numbers. Satoshi Murai , Takayuki Hibi AC CO
9 Sep math.AC/0509186 A general framework for applying FGLM techniques to linear codes. M. Borges-Quintana , M. A. Borges-Trenard , E. Martinez-Moro AC CO
9 Sep math.AC/0509180 Power series rings and projectivity. R. O. Buchweitz , H. Flenner . 6 pages. AC
Cross-listings
14 Sep math.AG/0509285 The Multiplicity Polar Theorem and Isolated Singularities. Terence Gaffney . 22 pages. AG AC
14 Sep math.AG/0509282 A Briancon-Skoda type theorem for graded systems of ideals. Alex Kuronya , Alexandre Wolfe . 8 pages. AG AC
13 Sep math.AG/0509243 On Igusa zeta functions of monomial ideals. Jason Howald , Mircea Mustata , Cornelia Oichi Yuen . 9 pages. AG AC
9 Sep math.AT/0509187

6. Commutative Algebra
A yearlong programme at the Mathematical Sciences Research Institute, Berkeley, California, USA; 19 August 2002 to 16 May 2003.
http://zeta.msri.org/calendar/programs/ProgramInfo/17/show_program

7. Introductory Workshop In Commutative Algebra
MSRI, Berkeley, CA, USA; 913 September 2002.
http://zeta.msri.org/calendar/workshops/WorkshopInfo/196/show_workshop

8. Algebraic Geometry, Commutative Algebra And Combinatorics -- Erice 2001, NATO Ad
Exterior Algebra Methods and Other New Directions. Erice, Sicily, Italy; 9 15 September 2001.
http://www.math.sunysb.edu/~sorin/Erice-2001/

Event photos
The workshop in Erice will address a wide range of new developments in classical Algebraic Geometry such as curves and their moduli, surfaces, higher dimensional varieties, vector bundles, and toric varieties. A special focus will be on exterior algebra methods which have recently grown in importance in Algebraic Geometry, Commutative Algebra, and Combinatorics, and their computational aspects (Bernstein-Gel'fand-Gel'fand correspondence, Beilinson monad, theory of Chow forms and resultants, algebraic shifting, free resolutions over the exterior algebra, linear syzygies, hyperplane arrangements, ...) Organizing Committee: David Eisenbud Lucian Badescu Sorin Popescu and Alfio Ragusa Speakers (tentative): The following people have responded positively to our invitation: Sponsors: NATO Scientific Affairs Division EAGER: European Algebraic Geometry Research Training Network and the University of Catania , Sicily. Registration: The cost of staying at the Ettore Majorana Centre will be approximately $80 per night (lodging/meals/transfer from/to the airport/1/2 day trip included), and there will be a fee of $100 for the social events. We will be able to offer financial assistance to some of the participants, particularly to younger mathematicians and speakers.

9. Utrecht Meeting June 2004
A COW/EAGER meeting. Utrecht, Netherlands; 46 June 2004.
http://www.math.uu.nl/people/szendroi/meeting.html
Algebraic geometry and commutative algebra, Utrecht , Friday to Sunday 4-6 June 2004 Confirmed participants: Ingrid Bauer, Hans-Christian v. Bothmer, Gavin Brown, Fabrizio Catanese, Martijn Grooten, Remke Kloosterman, Stavros Papadakis, Rita Pardini, Miles Reid, Gregory Sankaran, Joseph Steenbrink, Orsola Tommasi, Fabio Tonoli, as well as locals Eduard Looijenga, Jan Stienstra, Balazs Szendroi and others All talks are in the Mathematics Department (Wiskundegebouw) in the basement in room K11. Program
  • Friday 4 June
    • 3.15-4.15 Stavros Papadakis (Saarbrucken): Type II unprojection
    • 4.30-5.30 Fabio Tonoli (Bayreuth): Codimension 3 Gorenstein projective schemes and even sets of nodes: structure theorems and applications
  • Saturday 5 June
    • 9.15-10.15 Hans-Christian Graf v. Bothmer (Hannover): Geometric syzygies and rank 2 vectorbundles on curves
    • 10.30-11.30 Roberto Pignatelli (Trento): On a question of Horikawa
    • 11.45-12.45 Ingrid Bauer (Bayreuth): Explicit deformations of surfaces with K^2 = 7 and p_g =4
    • 2.45-3.45 Fabrizio Catanese (Bayreuth): Braid monodromy and Dehn monodromy of bidouble covers, symplectic and differentiable structures on algebraic surfaces
    • 4-5 Miles Reid (Warwick): Constructing varieties via commutative algebra
  • Sunday 6 June
    • Informal discussions
  • Note also that Miles Reid gives the departmental colloquium on Thursday 3 June at 3.30

10. Computational Commutative Algebra
MSRI, Berkeley, CA, USA; 1315 March 2003.
http://www.msri.org/calendar/workshops/WorkshopInfo/200/show_workshop
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ACTIVITIES AT MSRI ABOUT MSRI COMMUNICATIONS Calendar Programs ... Past Projects
Computational Commutative Algebra
March 13, 2003 to March 15, 2003 Organized By: Serkan Hosten, Craig Huneke, Bernd Sturmfels (chair), and Irena Swanson Parent Programs: Commutative Algebra 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.
Invited speakers include:
Paulo Aluffi
Matthias Aschenbrenner
Jon Carlson
Juergen Herzog
Gabriela Jeronimo

11. Commutative Algebra
A yearlong programme at the Mathematical Sciences Research Institute, Berkeley, California, USA; 19 August 2002 to 16 May 2003.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Macaulay 2 Home Page
A new software system devoted to supporting research in algebraic geometry and commutative algebra.
http://www.math.uiuc.edu/Macaulay2/
Macaulay 2 home page
Macaulay 2 is a software system devoted to supporting research in algebraic geometry and commutative algebra, whose development has been funded by the following National Science Foundation grants: DMS 03-11806 (2003-2008), DMS 03-11378 (2003-2008), DMS 99-70085 (1999-2002), DMS 96-22608 (1996-1999), DMS 92-10807 (1993-1996). We hope you will download it, try it out, and give us useful feedback as we continue the development of the program. COPYING The software is available now in source code for porting, and in compiled form for Linux, SunOS, Solaris, Windows, and a few other unix machines.
  • The book about Macaulay 2 , published by Springer. The online documentation provided with Macaulay 2 in html form, ready for viewing, equipped with a convenient search engine. Search the documentation:
Support requests:
  • Submit support requests and bug reports for Macaulay 2 at Sourceforge
Downloads:
  • Download Macaulay 2 source code in its latest form, using CVS, from Sourceforge Download Macaulay 2 binaries, source, and documentation, from our

13. Commalg.org - The Center For Commutative Algebra
A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

14. CoCoA System
A specialpurpose system for computations in commutative algebra.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. 13: Commutative Rings And Algebras
A commutative algebra is a commutative ring which contains a field commutative algebra has been applied to symbolic and computational questions as well.
http://www.math.niu.edu/~rusin/known-math/index/13-XX.html
Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
POINTERS: Texts Software Web links Selected topics here
13: Commutative rings and algebras
Introduction
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.

16. CoCoA System
A specialpurpose system for computations in commutative algebra.
http://cocoa.dima.unige.it/
CoCoA System
Co mputations in Co mmutative A lgebra
No patents

on algorithms!
What is CoCoA?
Download CoCoA 4.4
11 May 2005
Installation instructions
CoCoA manual
  • GUI help
  • help.pdf
  • and more help [ G ... e CoCoA packages
    news, updates and bug fixes
    The CoCoA Team The CoCoA Team is deeply saddened by the death of Fabio Rossi, contributor and friend Research team in Genova
    Conferences
    and Publications
    COCOA School 2005
    CoCoA Forum
    CoCoA Wiki
    ...
  • Past and present
  • Present and future: CoCoALib CoCoA-5 C++ Library CoCoA users
  • Papers books and courses
  • CoCoA Tutorials
  • Kreuzer-Robbiano book: Computational Commutative Algebra 1 How to cite CoCoA Send bug reports, questions, and suggestions to cocoa at dima.unige.it
  • 17. Macaulay 2 Home Page
    A new software system devoted to supporting research in algebraic geometry and commutative algebra.
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

    18. 13P: Computational Aspects Of Commutative Algebra
    Parent field 13 Commutative Rings and Algebras. Browse all (old) classifications for this area at the AMS. Textbooks, reference works, and tutorials
    http://www.math.niu.edu/~rusin/known-math/index/13PXX.html
    Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
    POINTERS: Texts Software Web links Selected topics here
    13P: Computational aspects of commutative algebra
    Introduction
    Perhaps the title makes it clear what this section is! For now this page is largely a placeholder; more information is on the parent page for commutative algebra
    History
    Applications and related fields
    The computational tools described on this page are used in other areas, particularly algebraic geometry and its subfields (e.g. one can compute the envelope of a curve ). Roughly speaking we have included here the comments which are best exemplified with varieties of dimension zero (finite sets of points) and in section 14 the comments which involve more geometry than computation. Computation in polynomial rings overlaps 12F: Field extensions (Galois theory). In particular, look there for computational questions involving the factorization of univariate polynomials. There have been a number of applications to topics in robotics and the motions of linked systems See Also 68W30
    Subfields
    • Polynomials, factorization, See also 12Y05

    19. Abstract Algebra
    University of Illinois. Downloadable texts in Abstract Algebra, Algebraic Number Theory, commutative algebra (PDF).
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

    20. SingularHome
    Computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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