{"product_id":"direct-sum-decompositions-of-torsion-free-finite-rank-groups","title":"Direct Sum Decompositions of Torsion-Free Finite Rank Groups","description":"\u003cp\u003eWith 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.\u003cbr\u003e\u003cbr\u003eOffering 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.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Default Title","offer_id":45590314418414,"sku":"9780367389321","price":104.8,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0630\/9612\/7726\/files\/9780367389321_7aaab653-f2c0-4aa4-bf8f-434e54dff780.jpg?v=1721232897","url":"https:\/\/bookland.com.au\/products\/direct-sum-decompositions-of-torsion-free-finite-rank-groups","provider":"Book Land AU","version":"1.0","type":"link"}