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.
Additional ISBNs
9786611274740, 9781281274748, 661127474X, 1281274747
Direct Sum Decompositions of Torsion-Free Finite Rank Groups Ebook
By: Theodore G. Faticoni
Publisher:
Chapman and Hall/CRC
Print ISBN: 9781584887263, 1584887265
eText ISBN: 9781584887270, 1584887273
Edition: 1st
Copyright year: 2007
Format: PDF
Available from $ 23.18 USD
SKU: 9781584887270R90
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