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About Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics)
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.
Detailed Information
| Author: | Theodore G. Faticoni |
|---|---|
| Publication Year: | 2007 |
| ISBN: | 9781584887270 |
| Pages: | 338 |
| Language: | English |
| File Size: | 1.443 |
| Format: | |
| Price: | FREE |
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