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 subject matters in direct sum decompositions of abelian teams and their results. The e-book illustrates a brand new approach of learning those teams whereas nonetheless honoring the wealthy heritage of particular direct sum decompositions of groups.

Offering a unified method of theoretic options, this reference covers isomorphism, endomorphism, refinement, the Baer splitting estate, Gabriel filters, and endomorphism modules. It exhibits tips to successfully research a gaggle G via 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 evidently happening houses thought of is whilst E(G) is a commutative ring. smooth algebraic quantity concept presents effects about the isomorphism of in the neighborhood isomorphic rtffr teams, finitely devoted S-groups which are J-groups, and every rtffr L-group that could be a J-group. The ebook concludes with necessary appendices that comprise historical past fabric and various examples.