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: Flat covers of modules
  name:
    name part: Xu, Jinzhong
    name part: 1958-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1996
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (x, 161 pages)
  abstract: Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they have had great influence on the development of homological algebra, ring theory and module theory. In the 1980s, Enochs introduced the flat cover and conjectured that every module has such a cover over any ring. This book provides the uniform methods and systematic treatment to study general envelopes and covers with the emphasis on the existence of flat cover. It shows that Enochs' conjecture is true for a large variety of interesting rings, and then presents the applications of the results. Readers with reasonable knowledge in rings and modules will not have difficulty in reading this book. It is suitable as a reference book and textbook for researchers and graduate students who have an interest in this field.
  table of contents: 1. Envelopes and Covers -- 2. Fundamental Theorems -- 3. Flat Covers and Cotorsion Envelopes -- 4. Flat Covers over Commutative Rings -- 5. Applications in Commutative Rings.
  note: Jinzhong Xu.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages [153]-157) and index.
  subject:
    topic: Modules (Algebra)
  subject:
    topic: Modules (Algèbre)
  subject:
    topic: Modules (Algebra)
  subject:
    topic: Modulen (wiskunde)
  subject:
    topic: Modules (algèbre)
  subject:
    topic: Kommutativer Ring
  subject:
    topic: Modul
  subject:
    topic: Überdeckung <Mathematik>
  subject:
    topic: Einhüllende
  classification: QA3 .L28 no. 1634
  classification: QA247.3
  classification: 510 s 512/.4
  classification: 31.23
  related item:
    title info:
      title: Flat covers of modules
    name:
      name part: Xu, Jinzhong, 1958-
    origin info:
      publisher: Berlin ; New York : Springer, ©1996
    identifier: (DLC) 96030962
    identifier: (OCoLC)35262256
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1634
  identifier: 9783540699927 (electronic bk.)
  identifier: 3540699929 (electronic bk.)
  identifier: 3540616403
  identifier: 9783540616405
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNM
    record creation date: 081222
    record change date: 20260420201149.2
    record identifier: in00003501406
    language of cataloging:
      language term: eng