Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics) - Image 1

£190.00

CRC Press Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics)

Name: Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics)
Brand: CRC Press
Price: 190.0 GBP
Availability: InStock

Algebra

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Description

With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups. Offering a unified approach to theoretic concepts, this reference covers isomorphism, endomorphism, refinement, the Baer splitting property, Gabriel filters, and endomorphism modules. It shows how to effectively study a group G by considering finitely generated projective right End(G)-modules, the left End(G)-module G, and the ring E(G) = End(G)/N(End(G)). For instance, one of the naturally occurring properties considered is when E(G) is a commutative ring. Modern algebraic number theory provides results concerning the isomorphism of locally isomorphic rtffr groups, finitely faithful S-groups that are J-groups, and each rtffr L-group that is a J-group. The book concludes with useful appendices that contain background material and numerous examples.

Product Specifications

Brand: CRC Press
Format: Hardcover
ASIN: 1584887265
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 27 September 2019
Listed Since: 05 January 2007

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CRC Press Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics)

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