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Download Direct Sum Decompositions of Torsion-Free Finite Rank Groups by Theodore G. Faticoni in PDF format completely FREE. No registration required, no payment needed. Get instant access to this valuable resource on PDFdrive.to!
About Direct Sum Decompositions of Torsion-Free Finite Rank Groups
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: | 9781584887263 |
| Pages: | 338 |
| Language: | English |
| File Size: | 1.311 |
| Format: | |
| Price: | FREE |
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