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: Rings, modules, and the total
  name:
    name part: Kasch, F. (Friedrich)
    name part: 1921-
    role:
      role term: creator
  name:
    name part: Mader, A. (Adolf)
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2004
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (x, 136 pages)
  abstract: In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of "partially invertible homomorphisms, namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion. Units and regular elements are partially invertible. The "total consists of all elements that are not partially invertible. The total contains the radical and the singular and cosingular submodules, but while the total is closed under right and left multiplication, it may not be closed under addition. Cases are discussed where the total is additively closed. The total is particularly suited to deal with the endomorphism ring of the direct sum of modules that all have local endomorphism rings and is applied in this case. Further applications are given for torsion-free Abelian groups.
  table of contents: Preface -- General Background -- I. Fundamental Notions and Properties -- II. Good Conditions for the Total -- III. The Total of Modules with LE-decompositions -- IV. The Total in Torsion-Free Abelian Groups -- Bibliography -- Index.
  note: Friedrich Kasch, Adolf Mader.
  note: Electronic resource.
  note: Includes bibliographical references (pages [131]-132) and index.
  subject:
    topic: Modules (Algebra)
  subject:
    topic: Rings (Algebra)
  subject:
    topic: Modules (Algebra)
  subject:
    topic: Rings (Algebra)
  classification: QA247.3 .K36 2004
  classification: 512/.42
  related item:
    identifier: (OCoLC)55534860
  related item:
    title info:
      title: Frontiers in mathematics (Springer-Verlag)
  identifier: 9783764378011 (electronic bk.)
  identifier: 3764378018 (electronic bk.)
  identifier: 3764371250
  identifier: 9783764371258
  identifier: 0817671250
  identifier: 9780817671259
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SCPER
    record creation date: 040528
    record change date: 20260422205140.9
    record identifier: in00003508465
    language of cataloging:
      language term: eng