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: Modules and the structure of rings
    sub title: a primer
  title info:
    title: MATHnetBASE
  name:
    name part: Golan
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  name:
    name part: CRC Press
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2017
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (272 pages)
  abstract: This textbook is designed for students with at least one solid semester of abstract algebra,some linear algebra background, and no previous knowledge of module theory. Modulesand the Structure of Rings details the use of modules over a ring as a means of consideringthe structure of the ring itself--explaining the mathematics and "inductivereasoning" used in working on ring theory challenges and emphasizing modules insteadof rings.Stressing the inductive aspect of mathematical research underlying the formal deductivestyle of the literature, this volume offers vital background on current methods for solvinghard classification problems of algebraic structures. Written in an informal butcompletely rigorous style, Modules and the Structure of Rings clarifies sophisticatedproofs. avoids the formalism of category theory. aids independent study or seminarwork. and supplies end-of-chapter problems.This book serves as an excellent primary.text for upper-level undergraduate and graduatestudents in one-semester courses on ring or module theory-laying a foundation formore advanced study of homological algebra or module theory.
  table of contents: part 1 Fundamental Concepts / Jonathan S. Golan -- chapter Modules and Maps / Jonathan S. Golan -- chapter The Ring as a Module over Itself / Jonathan S. Golan -- part 1 Projectivity / Jonathan S. Golan -- chapter Coproducts of Copies of R (Free Modules) / Jonathan S. Golan -- chapter Direct Summands of Free Modules (Projective Modules) / Jonathan S. Golan -- chapter Submodules of Free Modules / Jonathan S. Golan -- chapter Factor Modules of Free Modules / Jonathan S. Golan -- part 2 Injectivity / Jonathan S. Golan -- chapter Enlarging Homomorphisms / Jonathan S. Golan -- chapter Embedding Modules in Injective Modules / Jonathan S. Golan -- chapter Injective Modules as a Class / Jonathan S. Golan -- chapter Structure of Injective Modules / Jonathan S. Golan -- part 3 Countability / Jonathan S. Golan -- chapter Finitely-Generated Modules / Jonathan S. Golan -- chapter Countably-Generated Modules / Jonathan S. Golan -- chapter Coproducts of Countably-Generated Modules / Jonathan S. Golan -- chapter Projective Modules / Jonathan S. Golan -- part 4 Part Four Rings and Modules of Quotients / Jonathan S. Golan -- chapter Torsion and Torsion free Modules / Jonathan S. Golan -- chapter The Module of Quotients / Jonathan S. Golan -- chapter Rings of Quotients / Jonathan S. Golan.
  note: by Golan.
  subject:
    topic: Modules (Algebra)
  subject:
    topic: Rings (Algebra)
  classification: QA247 .G645 1991
  classification: 512/.4
  related item:
    identifier: (DLC) 91008369
  identifier: 9780203746615
  identifier: 9781351430371
  identifier: 9781351430357
  identifier: 9780824785550
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: FlBoTFG
    record creation date: 180420
    record change date: 20220613175652.6
    record identifier: in00004580603