Introductory Lectures On Rings and Modules by John A. Beachy

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Introductory Lectures On Rings and Modules written by John A. Beachy . This is an other great mathematics book cover the following topics.

CHAPTER 1: RINGS
Basic definitions and examples, Ring homomorphisms, Localization of integral domains, Unique factorization, Additional noncommutative examples

CHAPTER 2: MODULES
Basic definitions and examples, Direct sums and products, Semisimple modules, Chain conditions, Modules with finite length, Tensor products, Modules over principal ideal domains, Modules over the Weyl algebras

CHAPTER 3: STRUCTURE OF NONCOMMUTATIVE RINGS
Prime and primitive ideals, The Jacobson radical, Semisimple Artinian rings, Orders in simple Artinian rings

CHAPTER 4: REPRESENTATIONS OF FINITE GROUPS
Introduction to group representations, Introduction to group characters, Character tables and orthogonality relations

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