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Modules And The Structure Of Rings: A Primer (Chapman & Hall/Crc Pure And Applied Mathematics),Used
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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 itselfexplaining 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 endofchapter problems.This book serves as an excellent primary.text for upperlevel undergraduate and graduatestudents in onesemester courses on ring or module theorylaying a foundation formore advanced study of homological algebra or module theory.
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