Direct Sum Decompositions of Torsion-Free Finite Rank Groups - download pdf or read online

By Theodore G. Faticoni

With lots of new fabric now not present in different books, Direct Sum Decompositions of Torsion-Free Finite Rank teams explores complicated themes in direct sum decompositions of abelian teams and their outcomes. The publication illustrates a brand new manner of learning those teams whereas nonetheless honoring the wealthy background of special direct sum decompositions of groups.

Offering a unified method of theoretic recommendations, this reference covers isomorphism, endomorphism, refinement, the Baer splitting estate, Gabriel filters, and endomorphism modules. It exhibits the best way to successfully learn a gaggle G through contemplating finitely generated projective correct End(G)-modules, the left End(G)-module G, and the hoop E(G) = End(G)/N(End(G)). for example, one of many clearly taking place houses thought of is while E(G) is a commutative ring. glossy algebraic quantity concept presents effects in regards to the isomorphism of in the neighborhood isomorphic rtffr teams, finitely trustworthy S-groups which are J-groups, and every rtffr L-group that may be a J-group. The publication concludes with priceless appendices that include historical past fabric and various examples.

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Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Chapman & Hall/CRC Pure and Applied Mathematics) by Theodore G. Faticoni


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