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

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

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Direct Sum Decompositions of Torsion-Free Finite Rank Groups Summary

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.

About Theodore G. Faticoni

Faticoni, Theodore G.

Table of Contents

Abstract. Notation and Preliminary Results. Motivation by Example. Local Isomorphism is Isomorphism. Commuting Engomorphisms. Refinement Revisited. The Baer Splitting Property. J-groups, L-groups, and S-groups. Gabriel Filters. Endomorphism Modules. Appendices. Bibliography. Index.

Additional information

GOR010898964
9780367389321
0367389320
Direct Sum Decompositions of Torsion-Free Finite Rank Groups by Theodore G. Faticoni
Used - Like New
Paperback
Taylor & Francis Ltd
2019-09-19
344
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
The book has been read, but looks new. The book cover has no visible wear, and the dust jacket is included if applicable. No missing or damaged pages, no tears, possible very minimal creasing, no underlining or highlighting of text, and no writing in the margins

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