ENGLISH

Direct Sum Decompositions of Torsion-Free Finite Rank Groups

By Theodore G. Faticoni

Book information

Publisher
Crc Pr Inc
Year
2007
ISBN
1584887265, 9781584887263
Open Library ID
OL8795539M
Language
english
Format
PDF
Filesize
2 MB (1738879 bytes)
Series
Pure and Applied Mathematics
Edition
illustrated edition
Pages
338\338
Time added
2011-01-06 10:13:16

Description

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.

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