{"product_id":"direct-sum-decompositions-of-torsion-free-finite-rank-groups-1","title":"Direct Sum Decompositions of Torsion-Free Finite Rank Groups","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.\n\nOffering 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.","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":54263451058520,"sku":"9781584887263","price":235.6,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781584887263_0becc307-64d8-4644-86cb-5bb530315c9e.jpg?v=1770297342","url":"https:\/\/agendabookshop.com\/products\/direct-sum-decompositions-of-torsion-free-finite-rank-groups-1","provider":"Agenda Bookshop","version":"1.0","type":"link"}