Read Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics)

Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics)

Theodore G. Faticoni

4.9/5 (31999 ratings)

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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics). To get started finding Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1584887265

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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics). To get started finding Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics)

Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics)

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