Geometry.Net - Pure_And_Applied_Math: Homological Algebra

AMCA: A Little Bit Of Homological Algebra For Categorical Groups By Enrico Vital
A little bit of homological algebra for categorical groups by Enrico Vitale Université catholique de Louvain. Categorical groups, ie, monoidal groupoids
http://at.yorku.ca/c/a/j/f/31.htm
AMCA: Homological Algebra, BV Formalizm And (topological) String Theory By Andre
homological algebra, BV formalizm and (topological) string theory by Andrei Losev ITEP, Moskow. It is shown that homotopical algebra structures can be
http://at.yorku.ca/cgi-bin/amca/caps-02

Extractions: ITEP, Moskow It is shown that homotopical algebra structures can be considered as a classical limits of BV master equations. This leads to the notion of quantum homotopical structures. It is shown that BV integral leads to induced quantum homotopical structures and classical limit of this construction are Kadeishvili-type theorems. WDVV equations are considered as a homotopical algebraic structures, and Kodaira-Spenser theory is treated as a version of BV integral. In this way we recover Barannikov-Kontsevich construction of solution to WDVV and generalize it to 1-loop construction obtaining solutions to Getzler equations. Date received: December 9, 2004 Atlas Mathematical Conference Abstracts . Document # caps-02.
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Certain questions of homological and homotopical algebra and their applications. Nonabelian homological algebra and its applications.
http://www.rmi.acnet.ge/atestacia/staff/inas-h-list.htm

Extractions: HTTP 200 Document follows Date: Sat, 17 Sep 2005 03:33:01 GMT Server: NCSA/1.5.2 Last-modified: Thu, 06 Jan 2005 20:59:12 GMT Content-type: text/html Content-length: 16014 (i) Certain questions of homological and homotopical algebra and their applications. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Algebraic K -theory. Mathematics and its Applications, Kluwer Academic Publishers Group, Dordrecht, Non-abelian homological algebra and its applications. Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, (ii) Universal functors. (Russian) Soobshch. Akad. Nauk Gruzin. SSR Extensions of regular semigroups (Russian) Soobshch. Akad. Nauk Gruzin. SSR On extensions and growths of finite order for completely regular spaces. (Russian) Dokl. Akad. Nauk SSSR A generalization of perfect mappings. (Russian) Dokl. Akad. Nauk SSSR Alexander-Kolmogorov cohomology with values in commutative inverse semigroups. (Russian) Soobshch. Akad. Nauk Gruzin. SSR Exact homology and linking for Steenrod duality. (Russian) Dokl. Akad. Nauk SSSR
Hvedri Inassaridze
Seminars on homological algebra and Algebraic Ktheory (A.Razmadze Mathematical Nonabelian homological algebra and its applications, Kluwer Acad.
http://www.rmi.acnet.ge/~hvedri/

Extractions: HTTP 200 Document follows Date: Sat, 17 Sep 2005 03:33:01 GMT Server: NCSA/1.5.2 Last-modified: Sun, 11 Sep 2005 19:03:39 GMT Content-type: text/html Content-length: 10024 Prof. Hvedri Inassaridze Born in Paris, France, December 6, 1932. Secondary education at Lycee Claude Bernard, Paris (till 1947) and secondary school in Tbilisi (1947-1950). In 1950-1951 student of Tbilisi State University, physico-mathematical faculty; in 1951 his family was sent for permanent exile to Kazakhstan but was rehabilitated in 1954 (after Stalin's death). Continued to study in Tbilisi State University and graduated in 1958; 1958-1961 - postgraduate student of A. Razmadze Mathematical Institute of the Georgian Academy of Sciences From 1961 - scientific member of A. Razmadze Mathematical Institute From 1966 - Candidate and from 1970 - doctor of physical and mathematical sciences, confirmed by Highest Certification Commission (VAK) in Moscow. From 1983 - 2001 corresponding member and from 2001- full member of the Georgian Academy of Sciences 1990-1997 - President of the Georgian National Mathematical Committee.
Notes On Homological Algebra And Representations Of Lie Algebras, T. J. Enright,
4 PJ Hilton and U. Stammbach, A course in homological algebra, SpringerVerlag, New York, 1971. Mathematical Reviews 4910751
http://projecteuclid.org/Dienst/UI/1.0/Display/euclid.dmj/1077313857
A New Construction In Homological Algebra -- Buchbaum And Rota 91 (10): 4115 --
Vol 91, 41154119, Copyright © 1994 by National Academy of Sciences. ARTICLE. A New Construction in homological algebra. DA Buchbaum and G Rota
http://www.pnas.org/cgi/content/abstract/91/10/4115

Extractions: This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Similar articles in this journal Similar articles in PubMed Alert me to new issues of the journal Add to My File Cabinet ... Download to citation manager PubMed PubMed Citation Articles by Buchbaum, D. A. Articles by Rota, G. DA Buchbaum and G Rota
Basic Homological Algebra (Spring 2003)
The summary for this Russian page contains characters that cannot be correctly displayed in this language/character set.
http://www.mccme.ru/ium/s03/homalg.html
Homological Algebra (Spring 2002)
?.?. (A.Gorodentsev). homological algebra. Notes in English. Gzipped postscript (may be viewd directly with some versions of ghostview)
http://www.mccme.ru/ium/s02/homalg.html
Homological Algebra, Its Non-Abelian And Categorical Topics: Applications To Hom
homological algebra, Its NonAbelian and Categorical Topics Applications to Homotopy Theory, K-Theory, Algebraic Geometry and Galois Theory
http://www.crdf.org/Abstracts/fund/GM1115.htm

Extractions: Promoting Peace and Security through Cooperation in Science and Technology About CRDF Awards Employment Events ... Search Grant Programs Open Competitions Cooperative Grants Grant Assistance Program Industry ... Information For Grantees Services Proposal Review Science Liaison Office U.S. Office 1530 Wilson Boulevard, 3rd Floor information@crdf.org Directions The project was devoted to the study of homological and homotopical properties of algebraic structures using methods and techniques of simplicial, combinatorial and categorical algebra with applications to important fields of mathematics. A new relationship between factorization systems and well-pointed endofunctors was established and used to develop a new categorical notion of separability which also induces the topos-theoretic notion of separated objects. It was proved that simplicial groups of finite length have homology of finite length and that projectives objects are free in nilpotent algebraic varieties and for augmented algebras. Brown and Loday's exact sequence about the relationship of Whitehead's gamma functor with non-abelian tensor product and exterior product of groups was extended for precrossed modules. A formula was obtained for the dimension of the space of semi-invariants of regular representations of cyclic groups. Necessary and sufficient conditions for the existence of internal Kan extensions were obtained. A C*-category was constructed whose Karoubi's K-theory is isomorphic to Kasparov KK-theory.
HOMOLOGICAL ALGEBRA
homological algebra. Chapters. BASIC ALGEBRAS CHAIN COMPLEXES.
http://www.msri.org/info/computing/docs/magma/part13.htm
Algebraic Topology: Homological Algebra
homological algebra. Above we used the undefined product *. It is defined by A*B = Tor_1(A,B), the torsion product of A and B. It is zero when either A or B
http://www.win.tue.nl/~aeb/at/algtop-9.html

Extractions: Previous Contents Above we used the undefined product . It is defined by A*B = Tor_1(A,B) , the torsion product of A and B . It is zero when either A or B is free, and we have A*B = B*A Just for completeness the definitions. A resolution of A is an exact sequence ...-> C_i -> ... -> C_0 -> A -> . It is called free when all are free. Free resolutions exist, and any two free resolutions are chain homotopic. Now Tor_i(A,B) = H_i(C tensor B) is independent of the choice of free resolution C (And dually, Ext^i(A,B) = H^i(Hom(A,B)) Over a principal ideal domain one finds Tor_i(A,B) = Ext^i(A,B) = for i > 1 . Also, Tor_0(A,B) = A tensor B , so the only torsion module of interest here is A*B Next Previous Contents
ETH E-collection
Translate this page Completion constructions in homological algebra and finiteness conditions. by Mauro Triulzi. Diss. Math. Wiss. ETH Zürich, Nr. 12921, 1999. Ref.
http://e-collection.ethbib.ethz.ch/show?type=diss&nr=12921
Citebase - Abstract Harmonic Analysis, Homological Algebra, And Operator Spaces
subject, Operator Algebras Functional Analysis KTheory and Homology Helemski, The homology of banach and topological algebras (translated from the
http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:math/0206041
Citebase - On The Q-analog Of Homological Algebra
This is an attempt to generalize some basic facts of homological algebra to the case Methods of homological algebra. Part I Introduction to cohomology
http://citebase.eprints.org/cgi-bin/citations?id=oai:arXiv.org:q-alg/9611005
Algebra And Algebraic Topology Home Page
The connections between algebraic topology, homological algebra and areas of In fact the spinoff from homological algebra in these other areas has been
http://www.informatics.bangor.ac.uk/public/research/mathematics/algtop/algtop2.s

Extractions: The research in algebra at Bangor has to a large extent been motivated by problems in algebraic topology and homological algebra. The recent spate of new and exciting concepts (crossed modules, crossed n-cubes, nonabelian tensor products, etc.) originating in those two areas has opened out many algebraic aspects of the theory and applications which are waiting to be investigated. Many final year pure mathematics courses have some Algebraic Topology in them. Typically the fundamental group and/or the homology groups are defined, studied and applied to various problems such as the existence of certain types of continuous maps, the classification of knots, and other problems of classification usually in low dimensions. These problems usually involve two basic questions: In both cases the method of algebraic topology is to model certain important aspects of each space by some algebraic gadget, perhaps a group or a set of interrelated groups, use these to translate the problem to an algebraic context; try to solve that algebraic problem and finally to reinterpret the results back in terms of spaces. Homology theory was originally a part of algebraic topology, concerned with finding numerical invariants of spaces. Its methods grew out of an analysis of the behaviour of path integrals in complex analysis, but in the 1920s and 30s it became clear that the invariants involved were better viewed as numbers associated to certain Abelian groups.
A Course In Homological Algebra (Graduate Texts In Mathematics) - Preisvergleich
Translate this page A Course in homological algebra (Graduate Texts in Mathematics), vergleicht Verfügbarkeit, Preise, Lieferkosten und Lieferzeit bei online Buchhändlern.
http://buecher.compricer.de/0387948236
Teaching
homological algebra first arose as a language for describing topological properties Therefore, the homological algebra methods must be in the toolbox of
http://math.ubbcluj.ro/~marcus/teaching.html
MSC2000
20Jxx Connections with homological algebra and category theory related 55Nxx - Homology and cohomology theoriesSee also 57Txx related
http://www.zblmath.fiz-karlsruhe.de/MATH/text/msc/view?section=18Gxx
Homology, Homotopy And Applications - General Information
An allelectronic, peer-reviewed, international journal of leading-edge research in homological and Homotopical algebra, K-Theory, and applications.
http://www.math.rutgers.edu/hha/geninfo.html

Extractions: Homology, Homotopy and Applications (ISSN 1512 - 0139) is the all-electronic, refereed journal on Homological and Homotopical Algebra and their applications in the mathematical sciences. Aims and scope of the journal are described below in detail. The Editorial Board controls the journal with coordination by its Editor-in-Chief, Hvedri Inassaridze. Paper copies of articles are archived at the Razmadze Mathematical Institute Library. The AMS e-math Web site has a list of electronic journals in the mathematical sciences. Homology and homotopy are important disciplines of algebra and topology having fundamental and diverse applications to many fields of mathematics. Their investigation methods,inspired by geometrical and topological constructions,play a crucial role on the development of all the mathematics, ranging from algebraic topology to functional analysis and Galois theory. They essentially study homological, homotopical and categorical properties of a wide variety of algebraic and topological objects. With the use of standard (co)homology and homotopy theories (derived functors, spectral sequences, sheaf cohomology, fibrations, homotopy of simplicial objects) and their non-abelian, topological and categorical aspects, spectacular applications were obtained in the last thirty years in general algebra, algebraic topology, K-theory and algebraic geometry. New important, rapidly expanding and intensivly developing areas of algebra such as algebraic K-theory and cyclic homology are closely related with homological and homotopical algebra.
Algebra, Homological: New & Used Books Category Search Result For Algebra, Homol
algebra, homological New Used Books Category Search Result for algebra, homological. Compare new and used books prices among 122 book stores in a click.
http://www.fetchbook.info/fwd_topics/id_1553518.html

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