21. Citebase - Homological Algebra Of Mirror Symmetry It contains a short introduction, two basic examples and a refined version of the Mirror Conjecture formulated in terms of homological algebra. http://www.citebase.org/abstract?id=oai:arXiv.org:alg-geom/9411018

22. MIMS EPrints - Subject: 18 Category Theory; Homological Algebra Subject 18 Category theory; homological algebra. MIMS Preprint Server Subjects (755) MSC 2000, the AMS s Mathematics Subject Classification (718) http://eprints.ma.man.ac.uk/view/subjects/MSC_18.html

@import url(http://eprints.ma.man.ac.uk/eprints.css); @import url(http://eprints.ma.man.ac.uk/eprints.css); @import url(http://eprints.ma.man.ac.uk/print.css); You are here: MIMS EPrints MIMS EPrints MIMS EPrints home about browse search ... postgraduate admissions Subject: 18 Category theory; homological algebra MIMS Preprint Server Subjects MSC 2000, the AMS's Mathematics Subject Classification 18 Category theory; homological algebra Number of items: T.A. Nevins and J.T. Stafford Sklyanin algebras and Hilbert schemes of points. Advances in Mathematics . ISSN Mark Kambites Word problems recognisable by deterministic blind monoid automata. Theoretical Computer Science . ISSN Mark Kambites and Friedrich Otto Uniform decision problems for automatic semigrouos. Journal of Algebra . ISSN Grigory Garkusha and Mike Prest Torsion classes of finite type and spectra. Ravi Rajani and Mike Prest Model-theoretic imaginaries and coherent sheaves. Victoria Gould and Mark Kambites Faithful functors from cancellative categories to cancellative monoids with an application to abundant semigroups. International Journal of Algebra and Computation . ISSN Mark Kambites Presentations for semigroups and semigroupoids.

23. Springer Online Reference Works One of the origins of homological algebra is the (singular) homology theory of The language of homological algebra arose mainly from the process of http://eom.springer.de/H/h047710.htm

Encyclopaedia of Mathematics H Article referred from Article refers to Homological algebra The branch of algebra whose main study is derived functors on various categories of algebraic objects (modules over a given ring, sheaves, etc.). One of the origins of homological algebra is the (singular) homology theory of topological spaces. In this, to each topological space is associated a sequence of Abelian groups (homology groups), while to a continuous mapping of spaces is associated a set of homomorphisms of the homology groups. Each -dimensional singular simplex of a topological space has a boundary consisting of singular simplices of dimension . If is the free Abelian group generated by all the -dimensional simplices, then the function which assigns to each the alternating sum of its boundary simplices defines a homomorphism so that is a complex of Abelian groups, and a continuous mapping of spaces induces homomorphisms of their respective complexes. Certain properties of the space or the mappings may be deduced from the properties of the homology groups of this complex or from the corresponding homomorphisms of these homology groups. This makes it possible, in a number of cases, to reduce the study of topological objects to the study of certain algebraic objects, as is done in analytic geometry (with the difference that the transition from geometry to algebra in homology theory is irreversible).

24. Michi’s Blog » Blog Archive » The Why And The What Of Homological Algebr I have already a few times written about homological algebra, .. asked me about the origins of my intuitions for homological algebra in my recent post. http://blog.mikael.johanssons.org/archive/2007/07/the-why-and-the-what-of-homolo

Because my LiveJournal is too silly About Login The why and the what of homological algebra July 12th, 2007 I seem to have become the Goto-guy in this corner of the blogosphere for homological algebra. Our beloved Dr. Mathochist just gave me the task of taking care of any readers prematurely interested in it while telling us all just a tad too little for satisfaction about Khovanov homology. And I received a letter from the Haskellite crowd - more specifically from alpheccar I have already a few times written about homological algebra, algebraic topology and what it is I do on various levels of difficulty , but I guess - especially with the carnival So here goes. Alpheccar writes that to his understanding, the idea is to build topological spaces out of algebraic gadgets, and then do topology on them. This is a part of the story, and certainly historically very important, but it is far from all of it. Motivations The revolution for homological algebra pretty much started with Eilenberg-MacLane - who wrote an article book that did the constructions necessary for the very topological versions of homological algebra - but without ever involving the actual topological spaces.

25. An Introduction To Homological Algebra ``An introduction to homological algebra . by Charles Weibel, published 1994 by Cambridge Univ. Press (450pp.) Corrections to 1994 hardback edition; http://www.math.rutgers.edu/~weibel/Hbook-corrections.html

``An introduction to homological algebra'' by Charles Weibel , published 1994 by Cambridge Univ. Press Corrections to 1994 hardback edition ; these were corrected in the 1995 edition Corrections to 1995 paperback edition And in case you missed the movie, here's the visual proof of the Snake Lemma Thanks for corrections go to:

26. MATH 602. Homological Algebra This course will introduce the basic methods of homological algebra, and discuss such topics as chain complexes and spectral sequences. http://www.math.umd.edu/~jmr/602/

MATH 602. Homological Algebra (Spring 2007) Meeting times: MWF, 9:00am-9:50am (MTH 1311) Instructor: Professor Jonathan Rosenberg . His office is room 2114 of the Math Building, phone extension 55166, or you can contact him by email . His office hours are M and F 1-2, or by appointment. Text: . The text has a reasonable list price, $43. Errata for the text may be found here or here . Weibel also has an article about the history of homological algebra Prerequisite: MATH 600 (graduate algebra). MATH 734 (algebraic topology) or MATH 606 (algebraic geometry) helps in terms of motivation, but won't be assumed. Catalog description: Projective and injective modules, homological dimensions, derived functors, spectral sequence of a composite functor. Applications. Course Description: This course will introduce the basic methods of homological algebra, and discuss such topics as chain complexes and spectral sequences. This material is essential for algebraic geometry and algebraic topology , and plays a major role in many other subjects as well. We will do applications to subjects such as cohomology of groups and Hochschild cohomology of algebras. If we have time, we may get to some more "modern" topics such as derived and triangulated categories. But at a minimum, I hope you will come out of the course knowing how to compute with spectral sequences. In terms of Weibel's book, I hope at a minimum to cover chapters 1 (chain complexes), 2 (derived functors), 3 (Ext and Tor), 5 (spectral sequences), 6 (group homology and cohomology), and 9 (Hochschild and cyclic homology), plus the appendix on category theory (as this is quite important and is often not covered in other courses). If time permits we may cover parts of the other chapters also.

27. Analysis And Homological Algebra Analysis and homological algebra. joint work with M. Olbrich. Given a real semisimple Lie group we have the category of its Harish Chandra modules and the http://www.uni-math.gwdg.de/bunke/project2.html

Analysis and homological algebra joint work with M. Olbrich Given a real semisimple Lie group we have the category of its Harish Chandra modules and the canonical globalization functors which produce group representations from Harish-Chandra modules. Further given a discrete (arithmetic, or S-arithmetic) subgroup we can consider the cohomology of the subgroup with coefficients in the globalizations of Harish-Chandra modules. We are interested in structural results such as finitness, Poincare duality, computation in terms of automorphic forms etc. Our main technique is to employ invariant differential operators on symmetric spaces in order to construct acyclic resolutions of the representations. If the discrete subgroup is cocompact, then one considers the maximal and minimal globalizations. While the rank-one case is easy (see Gamma cohomology and the Selberg zeta function the general case is based on deep results of Kashiwara/Schmid (see Cohomological properties of the canonical globalizations of Harish-Chandra modules In this paper we also consider the smooth/distribution vector globalizations which lead to the same cohomology. In the case of finite covolume one is forced to consider the cohomology of the subgroup with coefficients in the distribution vector globalization. This leads to problems in the analysis on weighted function spaces on symmetric spaces. These are already complicated in the rank-one case. In

28. IngentaConnect On Computer-assisted Research In Homological Algebra We give a survey of how computer algebra can be used to help the mathematician to guess results and to prove theorems in homological algebra. http://www.ingentaconnect.com/content/els/03784754/1996/00000042/00000004/art000

Home About Ingenta Ingenta Labs Ingenta Blog ... Check our FAQs Or contact us to report problems with: Subscription access Article delivery Registration Library administrator tasks ... Other problems For Publishers Why go online? Why choose IngentaConnect? Beyond Print: enhancing your service Access and authentication ... Contact us For Researchers For Authors About IngentaConnect Search and browse Publications available ... Register For Librarians Resource Zone Why choose IngentaConnect? Why choose IngentaConnect Complete? Activating Subscriptions ... Register CM8ShowAd("HorizontalBanner"); On computer-assisted research in homological algebra Author: Roos J.-E. Source: Mathematics and Computers in Simulation , Volume 42, Number 4, November 1996 , pp. 475-490(16) Publisher: Elsevier view table of contents Key: - Free Content - New Content - Subscribed Content - Free Trial Content CM8ShowAd("Skyscraper"); Keywords: Homological algebra Macaulay Bergman Hilbert series ... Loop spaces Language: English Document Type: Research article DOI: Affiliations: Department of Mathematics, Stockholm University, S-10691 Stockholm, Sweden

29. Introduction To Commutative And Homological Algebra Commutative and homological algebra studies algebraic structures, say, modules over commutative rings, in terms of their generators and relations. http://www.mccme.ru/mathinmoscow/courses/view.php?name=Introduction to Commutati

30. MathGuide: Category Theory, Homological Algebra Subject Class, Mathematical logic and foundations; Set theory; Category theory, homological algebra; Combinatorics; Computer science http://www.mathguide.de/cgi-bin/ssgfi/anzeige.pl?db=math&sc=18

31. Torus Actions, Combinatorial Topology, And Homological Algebra Important constructions are described that enable one to study these combinatorial objects by using commutative and homological algebra. http://www.iop.org/EJ/abstract/0036-0279/55/5/R01

@import url(http://ej.iop.org/style/nu/EJ.css); User guide Site map Institutional login IOP login: Password: Create account Alerts Contact us Journals Home ... Content finder Torus actions, combinatorial topology, and homological algebra V M Bukhshtaber et al Russ. Math. Surv. 825-921 doi:10.1070/RM2000v055n05ABEH000320 PDF (905 KB) References Articles citing this article V M Bukhshtaber and T E Panov M.V. Lomonosov Moscow State University, Moscow, Russian Federation Moscow Power Engineering Institute, Moscow, Russian Federation Abstract. with vertices a -space with special bigraded cellular decomposition. In the framework of this theory, well-known non-singular toric varieties arise as orbit spaces of maximally free actions of subtori on moment-angle complexes corresponding to simplicial spheres. It is shown that diverse invariants of simplicial complexes and related combinatorial-geometric objects can be expressed in terms of bigraded cohomology rings of the corresponding moment-angle complexes. Finally, it is shown that the new relationships between combinatorics, geometry, and topology lead to solutions of some well-known topological problems. Mathematics Subject Classification: 52B70, 57Q15, 57R19, 14M25, 52B05, 13F55, 05B35

32. Homological Algebra - Mathematics Dictionary And Research Guide homological algebra homological algebra is the branch of mathematics which studies the methods of homology and cohomology in a gen. http://www.123exp-math.com/t/01704103528/

The Language of Mathematics - Dictionary and Research Guide Provided by Search: Add to Favorites Homological algebra Homological algebra is the branch of mathematics which studies the methods of homology and cohomology in a general setting. These concepts originated in algebraic topology. Wikipedia and Wikis Homological algebra - Wikipedia http://en.wikipedia.org/wiki/Homological_algebra More topics about: Homological algebra Edit this page Add new links, rate and edit existing links, or make suggestions. - Staff Explore related topics: Galois cohomology Principal homogeneous space Spectral sequence Triangulated category ... homology Some descriptions may have been derived in part from Princeton University WordNet or Wikipedia Last update: March 14, 2008

33. Fields Institute - Thematic Program On On The Geometry Of String Theory Course on Introduction to homological algebra, Instructor R. Buchweitz . homological algebra.(With an appendix by David A. Buchsbaum. http://www.fields.utoronto.ca/programs/scientific/04-05/string-theory/courses/in

Home About Us NPCDS/PNSDC Mathematics Education ... Search THEMATIC PROGRAMS March 14, 2008 Thematic Program on The Geometry of String Theory the Perimeter Institute for Theoretical Physics, Waterloo Graduate Courses Taking the Course for Credit Financial Assistance Thematic Year Homepage Winter Semester 2005 Course on Introduction to Homological Algebra Instructor: R. Buchweitz Course on Symplectic Geometry and Topology , Instructor: B. Khesin Mini-Course on Generalized Geometries in String Theory Accommodation support is available for participants to the Mini-Course at Perimeter to stay overnight in Waterloo on the Tuesday or Wednesday. Please indicate when registering if you require accommodation and for which dates. February 15-17, 2005 Marco Gualtieri (Fields): February 15 -17, 2005 Yi Li (Caltech): March 1-3, 2005 11 a.m. Mariana Grana Mini-Course: "Toda lattices: basics and perspectives" (at Fields Institute) Fall Semester Course on Mirror Symmetry , Instructor: K. Hori

34. Course Schedule - Spring 2005 - MATH 505 - Homological Algebra homological algebra. Credit 4 hours. (MATH 406) Definition and properties of the functors Ext and Tor; projective, injective, and flat modules; http://courses.uiuc.edu/cis/schedule/urbana/2005/Spring/MATH/505.html

pdf Home text only Class Schedule Summer 06 Spring 06 Fall 05 Summer 05 ... Fall 04 Course Catalog Spring 06 Fall 05 Spring 05 Fall 04 ... Spring 00 Programs of Study Spring 06 Fall 05 Spring 05 Fall 04 Search the CIS View schedules for all classes first 8 weeks second 8 weeks evenings MATH 505 Homological Algebra Credit: 4 hours. (MATH 406) Definition and properties of the functors Ext and Tor; projective, injective, and flat modules; group extensions; dimensions of rings, and Hilbert theorem on syzygies Prerequisite: MATH 501 or equivalent Section Information CRN Type Section Time Days Location Instructor lecture- discussion 09:00 AM - 10:20 AM TR room 341 Altgeld Hall Yau, D Site created by the Office of Web Services Courses Contact University of Illinois at Urbana-Champaign 2004 The Board of Trustees at the University of Illinois

35. A New Construction In Homological Algebra -- Buchbaum And Rota 91 (10): 4115 -- A New Construction in homological algebra. DA Buchbaum and G Rota. We present a generalization of the classical bar construction with applications to http://www.pnas.org/cgi/content/abstract/91/10/4115

This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a colleague Similar articles in this journal Similar articles in PubMed Alert me to new issues of the journal ... Download to citation manager Citing Articles Citing Articles via CrossRef Citing Articles via Google Scholar Google Scholar Articles by Buchbaum, D. A. Articles by Rota, G. Search for Related Content PubMed PubMed Citation Articles by Buchbaum, D. A. Articles by Rota, G. Social Bookmarking What's this? Previous Article Table of Contents Next Article ARTICLE A New Construction in Homological Algebra DA Buchbaum and G Rota We present a generalization of the classical bar construction with applications to resolutions of Weyl modules. CiteULike Complore Connotea Del.icio.us Digg What's this? Current Issue Archives Online Submission ... Site Map

36. ScienceDirect - Journal Of Algebra : Relative Homological Algebra And Purity In Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://linkinghub.elsevier.com/retrieve/pii/S0021869399982376

Athens/Institution Login Not Registered? User Name: Password: Remember me on this computer Forgotten password? Home Browse My Settings ... Help Quick Search Title, abstract, keywords Author e.g. j s smith Journal/book title Volume Issue Page Journal of Algebra Volume 227, Issue 1 , 1 May 2000, Pages 268-361 Abstract Abstract + References PDF (625 K) Related Articles in ScienceDirect Relative homological algebra. Cohomology of categories,... Handbook of Algebra Relative homological algebra. Cohomology of categories, posets and coalgebras Handbook of Algebra Volume 1 Pages 611-638 A.I. Generalov Abstract Abstract + References PDF (1358 K) A vanishing line in the BP1 ... Topology A vanishing line in the BP -Adams spectral sequence Topology Volume 39, Issue 6 November 2000 Pages 1137-1153 Abstract Using techniques of relative homological algebra, for an odd prime p , we describe a vanishing line of slope ( p p in the second term of the BP -Adams spectral sequence for the sphere spectrum. As a consequence, the E term of the classical Adams spectral sequence is shown to have a similar line of slope (2 p p p p J -homomorphism lies. This produces upper bounds for the exponent at

37. Injectives Of Strongly Hereditary Relative Homological Algebras Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www.springerlink.com/index/Q01720V545U6636M.pdf

38. Projective Geometry And Homological Algebra Projective geometry and homological algebra. Source, Springer Algorithms And Computation In Mathematics Series archive Computations in algebraic geometry http://portal.acm.org/citation.cfm?id=512211

39. Commutative And Homological Algebra? Commutative and homological algebra? Linear Abstract Algebra. http://www.physicsforums.com/showthread.php?t=197048

40. TOWARD A HOMOLOGICAL ALGEBRA OF AUTOMATA I: 1. THE REPRESENTATION AND COMPLETENE In this paper the author formulates the categorical theory of abstract automata. Two immediate basic problems are posed. First, one wonders how restricted http://stinet.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=AD0

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