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Direct Sum Decompositions of Torsion-Free Finite Rank Groups

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by Theodore G. Faticoni
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Direct Sum Decompositions of Torsion-Free Finite Rank Groups by Theodore G. Faticoni

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.

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Ebook Details
Pages: 344
Size: 2.4 MB
Publisher: CRC Press
Date published:   2007
ISBN: 9781584887270 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Number Theory

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Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Number Theory

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03/29/2017
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