rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Homological algebra
  title info:
    title: Algebra 5. English
  title info:
    title: Encyclopaedia of mathematical sciences
    part number: Vol. 38
  name:
    name part: Gelʹfand, S. I. (Sergeĭ Izrailevich)
    role:
      role term: creator
  name:
    name part: Manin, I︠U︡. I.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1999
    issuance: monographic
  language:
    language term: eng
  language:
    language term: rus
  physical description:
    form: remote
    extent: 1 online resource (222 pages)
  abstract: This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.
  table of contents: 1. Complexes and Cohomology -- 2. The Language of Categories -- 3. Homology Groups in Algebra and in Geometry -- 4. Derived Categories and Derived Functors -- 5. Triangulated Categories -- 6. Mixed Hodge Structures -- 7. Perverse Sheaves -- 8. D-Modules -- References -- Author Index.
  note: [authors and translators] S.I. Gelfand, Yu. I. Manin.
  note: "Originally published as Algebra V, volume 38 of the Encyclopaedia of mathematical sciences"--title page verso.
  note: "Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamentalʹnye napravleniya, Vol. 38, Algebra 5, publisher VINITI, Moscow 1989"--T.p. verso.
  note: Includes bibliographical references (pages 211-216) and indexes.
  subject:
    topic: Algebra, Homological
  subject:
    topic: Categories (Mathematics)
  subject:
    topic: D-modules
  subject:
    topic: Algebra, Homological
  subject:
    topic: Categories (Mathematics)
  subject:
    topic: D-modules
  classification: QA169 .G44813 1999eb
  classification: 512
  classification: 31.27
  related item:
    title info:
      title: Algebra 5. English
    name:
      name part: Gelʹfand, S. I. (Sergeĭ Izrailevich).
  related item:
    title info:
      title: Homological algebra
    title info:
      title: Algebra 5. English
    name:
      name part: Gelʹfand, S. I. (Sergeĭ Izrailevich).
    identifier: (OCoLC)42052238
  identifier: 9783642579110 (electronic bk.)
  identifier: 3642579116 (electronic bk.)
  identifier: 3540653783
  identifier: 9783540653783
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 140711
    record change date: 20260423140742.1
    record identifier: in00003555246
    language of cataloging:
      language term: eng