Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Hardcover)

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.

General

Imprint:	Chapman & Hall/CRC
Country of origin:	United States
Release date:	March 2007
First published:	August 2006
Authors:	Theodore G. Faticoni
Dimensions:	234 x 156 x 23mm (L x W x T)
Format:	Hardcover
Pages:	344
ISBN-13:	978-1-58488-726-3
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	1-58488-726-5
Barcode:	9781584887263

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