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Direct Sum Decompositions of Torsion-Free Finite Rank Groups Theodore G. Faticoni 1st edition
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Direct Sum Decompositions of Torsion-Free Finite Rank Groups
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.
344 pages
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | September 19, 2019 |
| ISBN13 | 9780367389321 |
| Publishers | Taylor & Francis Ltd |
| Pages | 344 |
| Dimensions | 150 × 220 × 10 mm · 453 g |
| Language | English |
