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 Direct Sum Decompositions of TorsionFree Finite Rank Groups

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PostSubject: Direct Sum Decompositions of TorsionFree Finite Rank Groups   Direct Sum Decompositions of TorsionFree Finite Rank Groups EmptySun Feb 14, 2016 12:16 pm

Direct Sum Decompositions of TorsionFree Finite Rank Groups 08a9f445878d55522a45c7e27ac6980a

Theodore G. Faticoni, "Direct Sum Decompositions of Torsion-Free Finite Rank Groups"
2007 | pages: 338 | ISBN: 1584887265 | PDF | 1,4 mb
With plenty of new material not found in other books, 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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