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: Module Theory, Extending Modules and Generalizations
  name:
    name part: Tercan, Adnan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Yücel, Canan C.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XX, 369 p. online resource.
  abstract: The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings. Extending (or CS) modules are generalizations of injective (and also semisimple or uniform) modules. While the theory of CS-modules is well documented in monographs and textbooks, results on generalized forms of the CS property as well as dual notions are far less present in the literature. With their work the authors provide a solid background to module theory, accessible to anyone familiar with basic abstract algebra. The focus of the book is on direct sums of CS-modules and classes of modules related to CS-modules, such as relative (injective) ejective modules, (quasi) continuous modules, and lifting modules. In particular, matrix CS-rings are studied and clear proofs of fundamental decomposition results on CS-modules over commutative domains are given, thus complementing existing monographs in this area. Open problems round out the work and establish the basis for further developments in the field. The main text is complemented by a wealth of examples and exercises.
  table of contents: Preface -- Introduction -- List of Symbols -- Introducing modules.- Types of Relative Injectivity.- Extending Property and Related Concepts.- Inner Generalizations of Extending Modules.- Outer Generalizations of Extending Modules.- Dual Goldie and EC-complement Versions of the Extending Property.- Open Problems and Questions -- Appendix -- References -- Index.
  note: by Adnan Tercan, Canan C. Yücel.
  subject:
    topic: Mathematics
  subject:
    topic: Associative rings
  subject:
    topic: Rings (Algebra)
  subject:
    topic: Mathematics
  subject:
    topic: Associative Rings and Algebras
  classification: QA251.5
  classification: 512.46
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Frontiers in Mathematics
  identifier: 9783034809528
  identifier: http://dx.doi.org/10.1007/978-3-0348-0952-8
  record info:
    record creation date: 160513
    record change date: 20171014141109.0
    record identifier: 978-3-0348-0952-8