Lectures on rings and modules

Bibliographic Information

Lectures on rings and modules

Joachim Lambek

Chelsea Pub. Co., 1986

3rd ed

Available at  / 22 libraries

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Note

Bibliography: p. 173-180

Includes index

Description and Table of Contents

Table of Contents

Fundamental Concepts of Algebra: 1.1 Rings and related algebraic systems 1.2 Subrings, homomorphisms, ideals 1.3 Modules, direct products, and direct sums 1.4 Classical isomorphism theorems Selected Topics on Commutative Rings: 2.1 Prime ideals in commutative rings 2.2 Prime ideals in special commutative rings 2.3 The complete ring of quotients of a commutative ring 2.4 Rings of quotients of commutative semiprime rings 2.5 Prime ideal spaces Classical Theory of Associative Rings: 3.1 Primitive rings 3.2 Radicals 3.3 Completely reducible modules 3.4 Completely reducible rings 3.5 Artinian and Noetherian rings 3.6 On lifting idempotents 3.7 Local and semiperfect rings Injectivity and Related Concepts: 4.1 Projective modules 4.2 Injective modules 4.3 The complete ring of quotients 4.4 Rings of endomorphisms of injective modules 4.5 Regular rings of quotients 4.6 Classical rings of quotients 4.7 The Faith-Utumi theorem Introduction to Homological Algebra: 5.1 Tensor products of modules 5.2 Hom and $\otimes$ as functors 5.3 Exact sequences 5.4 Flat modules 5.5 Torsion and extension products Appendixes Comments Bibliography Index.

by "Nielsen BookData"

Details

  • NCID
    BA00450656
  • ISBN
    • 0828422834
  • LCCN
    75041494
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    viii, 183 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
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