Lectures on rings and modules
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Bibliographic Information
Lectures on rings and modules
Chelsea Pub. Co., 1986
3rd ed
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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"
