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         Homological Algebra:     more books (109)
  1. An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics) by Charles A. Weibel, 1995-10-27
  2. An Introduction to Homological Algebra (Universitext) by Joseph J. Rotman, 2008-10-14
  3. A Course in Homological Algebra (Graduate Texts in Mathematics) by Peter J. Hilton, U. Stammbach, 1997-01-17
  4. An Elementary Approach to Homological Algebra (Monographs and Surveys in Pure and Applied Math) by L.R. Vermani, 2003-05-28
  5. Basic Homological Algebra (Graduate Texts in Mathematics) by M. Scott Osborne, 2000-05-19
  6. Homological Algebra (PMS-19) by Henri Cartan, Samuel Eilenberg, 1999-11-29
  7. Homological Algebra by S.I. Gelfand, Yu.I. Manin, 1999-06-22
  8. Methods of Homological Algebra (Springer Monographs in Mathematics) by Sergei I. Gelfand, Yuri I. Manin, 2010-11-02
  9. Algebras, Rings and Modules: Volume 2 (Mathematics and Its Applications) by Michiel Hazewinkel, Nadiya Gubareni, et all 2010-11-02
  10. Abelian Groups, Rings, Modules, and Homological Algebra (Lecture Notes in Pure and Applied Mathematics)
  11. Notes on Homological Algebra (Mathematics Studies) by Joseph J. Rotman, 1971-06-17
  12. Commutative Algebra: Geometric, Homological, Combinatorial and Computational Aspects (Lecture Notes in Pure and Applied Mathematics)
  13. K-theory and Homological Algebra: A Seminar Held at the Razmadze Mathematical Institute in Tbilisi, Georgia, USSR 1987-88 (Lecture Notes in Mathematics)
  14. Trivial extensions of Abelian categories: Homological algebra of trivial extensions of Abelian categories with applications to ring theory (Lecture notes in mathematics ; 456) by Robert M Fossum, 1975

1. CiteULike: Tag Homological_algebra [4 Articles]
Recent papers classified by the tag homological_algebra. posted to homological_algebra by NitinCR on 200705-07 185322 as
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Tag homological_algebra [4 articles]
Recent papers classified by the tag homological_algebra.
  • Methods of Homological Algebra (17 January 2003) by Sergei I Gelfand , Yuri I Manin posted to by NitinCR on 2007-05-07 18:53:22 as (28 May 2003) by LR Vermani posted to by NitinCR on 2007-05-11 10:59:55 as A Course in Homological Algebra (Graduate Texts in Mathematics) (17 January 1997) by Peter J Hilton , U Stammbach posted to by NitinCR on 2007-05-08 05:39:10 as Methods of homological algebra by Sergei I Gelfand , Yuri I Manin posted to textbook by eibin to the group NoncommutativeGeometry on 2006-01-17 02:22:44 as
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    2. Homological Algebra - Wikipedia, The Free Encyclopedia
    Retrieved from http//en.wikipedia.org/wiki/homological_algebra . Categories Homological algebra Abstract algebra Algebraic topology Algebraic
    http://en.wikipedia.org/wiki/Homological_algebra
    Homological algebra
    From Wikipedia, the free encyclopedia
    Jump to: navigation search Homological algebra is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology ) and abstract algebra (theory of modules and syzygies ) at the end of the 19th century, chiefly by Henri Poincar© and David Hilbert The development of homological algebra was closely intertwined with the emergence of category theory . By and large, homological algebra is the study of homological functors and the intricate algebraic structures that they entail. The hidden fabric of mathematics is woven of chain complexes , which manifest themselves through their homology and cohomology . Homological algebra affords the means to extract information contained in these complexes and present it in the form of homological invariants of rings , modules, topological spaces , and other 'tangible' mathematical objects. A powerful tool for doing this is provided by spectral sequences From its very origins, homological algebra has played an enormous role in algebraic topology. Its sphere of influence has gradually expanded and presently includes

    3. Homological Algebra - Indopedia, The Indological Knowledgebase
    Retrieved from http//indopedia.org/homological_algebra.html . This page has been accessed 141 times. This page was last modified 0104,
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    Homological algebra
    ज्ञानकोश: - The Indological Knowledgebase pl:Algebra homologiczna Homological algebra is that branch of mathematics which studies the methods of homology and cohomology in a general setting. These concepts originated in algebraic topology Cohomology theories have been described for topological spaces sheaves , and groups ; also for Lie algebras C-star algebras . The study of modern algebraic geometry would be almost unthinkable without sheaf cohomology. There are also other homological functors that take their place in the theory, such as Ext and Tor . There have been attempts at 'non-commutative' theories, which extend first cohomology as torsors (important in Galois cohomology edit
    Foundational aspects
    The methods of homological algebra start with use of the exact sequence to perform actual calculations. With a diverse set of applications in mind, it was natural to try to put the whole subject on a uniform basis. There were several attempts, before the subject settled down. An approximate history can be stated as follows:
    • Cartan-Eilenberg: as in their eponymous book, used

    4. Homological Algebra - ᏗᎪᏪᎵ ᎦᏧᎾᎳ Ꭶá
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    Homological algebra
    Homological (ᎧᏁᎢᏍᏙᏗ) ᏗᏎᏍᏗ ᎤᎬᏩᎵ homology (ᎧᏁᎢᏍᏙᏗ) ᎭᏫᎾᏗᏢ ᏂᎦᎥ algebraic (ᏗᏎᏍᏗ) ᏗᏫᏍᏗ. ᎾᏍᎩ ᎨᏒᎢ ᏗᎦᏃᏢᎩ ᎠᏲᎵ discipline (ᏓᏕᏲᎲᏍᎬ), ᎾᏍᎩ ᎤᏤᎵ origins (ᎠᏓᎴᏂᏍᎬ) ᏰᎵᏇ ᎾᏍᏋ ᎤᏍᏓᏩᏛᏒ investigations (ᎤᏂᎦᏛᎲᏍᎩ) ᎭᏫᎾᏗᏢ combinatorial topology (precursor (ᏄᎬᏫᏳᏌᏕᎩ) algebraic (ᏗᏎᏍᏗ) topology modules (ᎠᎴᏅᏗᏍᎬ) syzygies (ᏚᏓᏂᏴᏒ) Henri Poincar© ... David Hilbert ᎯᎠ ᏚᏙᎳᏩᏛᎲ homological (ᎧᏁᎢᏍᏙᏗ) ᏗᏎᏍᏗ ᎤᎬᏩᎵ ᏥᏄᏍᏛᎩ ᎾᎥᏂᎨᎢ intertwined (ᏧᏠᎯᏍᏗ) ᎬᏙᏗ ᎯᎠ emergence (ᏄᏍᏗᏓᏅ) . ᎾᎥᎢ ᎠᎴ ᎡᏆ, homological (ᎧᏁᎢᏍᏙᏗ) ᏗᏎᏍᏗ ᎤᎬᏩᎵ ᎨᏒᎢ ᎯᎠ ᎠᎦᏎᏍᏙᏗ homological (ᎧᏁᎢᏍᏙᏗ) functor ᎠᎴ ᎯᎠ intricate (ᎤᏦᎠᏎᏗ) algebraic (ᏗᏎᏍᏗ) structures (ᎠᏛᎯᏍᏙᏗ) Ꮎ ᎤᏅᏌ ᎠᏓᏠᏯᏍᏙᏗ. ᎯᎠ ᎬᏍᎦᎸ fabric (ᎤᏔᏂᏗ ᎦᏙᎯ) ᏗᏎᏍᏗ ᎤᎬᏩᎵ ᎨᏒᎢ woven ᎤᎾᏓᏕᏒᏓ complex (ᏂᎦᏛ)es , ᎦᏙ ᎤᏍᏗ manifest (ᎬᎪᏩᏛᏗ) ᎤᏅᏌ ᏗᎬᏩᎶᏒ ᎤᎾᏤᎵ homology (ᎧᏁᎢᏍᏙᏗ) ᎠᎴ cohomology . Homological (ᎧᏁᎢᏍᏙᏗ) ᏗᏎᏍᏗ ᎤᎬᏩᎵ affords (ᏰᎵ ᎢᏳᏛᏂ) ᎯᎠ ᎤᏅᏔᏂᏓᏍᏗ extract (ᎠᎲᏏᏓᏍᏗ) ᎠᏓᏃᎯᏎᏗ ᎢᎦᎢ ᎨᏒᎩ ᎭᏫᎾᏗᏢ ᎾᏍᎩ ᎯᎠ complexes (ᏂᎦᏛ) ᎠᎴ ᎡᏙᎠ ᎾᏍᎩ ᎭᏫᎾᏗᏢ ᎯᎠ ᎤᏙᏢᏒ homological (ᎧᏁᎢᏍᏙᏗ)

    5. Homological Algebra
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    6. Academia.edu | People | Homological Algebra
    Invitations (10) Create Webpage People Login Signup. Academia_logo6532. Gn_options. Create Webpage; People; Login; Signup
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    7. Wiki Homological Algebra
    Wiki Homological algebra. Contents 1. Chain complexes and homology 2. Functoriality 3. Foundational aspects 4. References
    http://wapedia.mobi/en/Homological_algebra
    Wiki: Homological algebra Contents:
    1. Chain complexes and homology

    2. Functoriality

    3. Foundational aspects

    4. References

    Homological algebra is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology ) and abstract algebra (theory of modules and syzygies ) at the end of the 19th century, chiefly by Henri Poincar© and David Hilbert Home Licensing Wapedia: For Wikipedia on mobile phones

    8. Homological Algebra
    A selection of articles related to homological algebra.
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    ARTICLES RELATED TO homological algebra
    homological algebra: Encyclopedia - Areas of mathematics The aim of this page is to list all areas of modern mathematics, with a brief explanation about their scope and links to other parts of this encyclopedia, set out in a systematic way. The way research-level mathematics is internally organised is mostly determined by practitioners, and does change over time; this is in contrast with the apparently timeless syllabus divisions used in mathematics education, where calculus can seem to be much the same over a time scale of a century. Calculus itself does not appear as a major heading — m ...
    Including:
    Read more here: homological algebra: Encyclopedia - Alexander Grothendieck Alexander Grothendieck (born March 28, 1928) was one of the most important mathematicians active in the 20th century. He was also one of its most extreme scientific personalities, with achievements over a short span of years that are still scarcely credible in their broad scope and sheer bulk, and an approach that antagonised even close followers. He made major contributions to algebraic geometry, homological algebra, and functional analysis. He was awarded the Fields Medal in 1966, and co-awarded the Crafoord Prize with Pierre Delig ...

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    10. Upto11.net - Wikipedia Article For 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
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    11. Research Jobs In Homological Algebra
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    12. Homological Algebra - ANobii
    HOMOLOGICAL ALGEBRA reviews from readers. Also includes book price, book ratings, book discussions, book forums, book cover, book publication details.
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    Book Description
    When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology (and also cohomology) theory that embodies all three; a large number of results is thus established in a general framework. Subsequently, each of the three theories is singled out by a suitable specialization, and its specific properties are studied. The starting point is the notion of a module over a ring. The primary operations are the tensor product of two modules and the groups of all homomorphisms of one module into another. From these, "higher order" derived of operations are obtained, which enjoy all the properties usually attributed to homology theories. This leads in a natural way to the study of "functors" and of their "derived functors."

    13. Homological Algebra - Blackwell Online
    Homological Algebra, Henri Cartan, S. Eilenberg, Mathematics Books Blackwell Online Bookshop.
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    Please note that there may be some price differences between Blackwell Online and our Retail Shops ISBN Pages What's this? Volumes Publisher University Presses of California, Columbia and Princeton Weight (grammes) Imprint Princeton University Press Published in New Jersey Format Paperback Series title Princeton Mathematical S. Publication date 29 Nov 1999 Height (mm) Library of Congress QA Width (mm) DEWEY Academic level U, P

    14. Homological Algebra Summary Review And Analysis
    Homological algebra summary with 6 pages of encyclopedia entries, essays, summaries, research information, and more.
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    New Levels of Abstraction: Homological Algebra and Category Theory
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    1,575 words, approx. 5 pages
    Two of the more abstract branches of mathematics are homological algebra and category theory. Important progress was made in both during the first half of the twentieth century. Indeed, since the fields both arose in the latter part of the nineteenth... summary from source:
    Homological algebra
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    306 words, approx. 1 pages
    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. Cohomology theories have been defined for many different objects such as...
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    17. Category:Homological_algebra
    CategoryHomological algebra. Homological algebra is a collection of algebraic techniques that originated in the study of algebraic topology but has also
    http://www.boopsie.com/live/Wikipedia English The Free Encyclopedia/!Category:Ho
    Category:Homological algebra Homological algebra is a collection of algebraic techniques that originated in the study of algebraic topology but has also found applications to group theory and algebraic geometry
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