Direct Sum Decompositions of Torsion-Free Finite Rank Groups - Theodore G. Faticoni - Libros - Taylor & Francis Ltd - 9780367389321 - 19 de septiembre de 2019
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Direct Sum Decompositions of Torsion-Free Finite Rank Groups 1.º edición

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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

Medios de comunicación Libros     Paperback Book   (Libro con tapa blanda y lomo encolado)
Publicado 19 de septiembre de 2019
ISBN13 9780367389321
Editores Taylor & Francis Ltd
Páginas 344
Dimensiones 150 × 220 × 10 mm   ·   453 g
Lengua Inglés  

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