A01=Golan
abstract algebra foundations
advanced module theory study
algebraic structures research
Author_Golan
Baer's Criterion
Baer’s Criterion
Category=PBF
Commutative Noetherian Ring
Countably Generated Modules
Cyclic Submodules
direct
Direct Summand
Division Ring
Endomorphism Ring
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Free Modules
graduate mathematics textbook
Homomorphic Images
hull
ideal
injective
Injective Hull
Injective Modules
Injective Submodule
Jonathan S. Golan
Large Submodule
Left Hereditary Ring
Left Ideal
Left Noetherian Ring
Maximal Independent Subset
Maximal Left Ideals
module homomorphisms
Noetherian Ring
Nonzero Cyclic Submodule
Nonzero Submodules
Principal Ideal Domain
quasi-Frobenius Ring
ring classification methods
Semisimple Ring
summand
Tom Head
torsion theory applications
Uniform Submodule
Product details
- ISBN 9780824785550
- Weight: 690g
- Dimensions: 156 x 234mm
- Publication Date: 24 Apr 1991
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
Golan\,
