Direct Sum Decompositions of Torsion-Free Finite Rank Groups - Couverture rigide

Faticoni, Theodore G.

Couverture rigide

ISBN 10 : 1584887265 ISBN 13 : 9781584887263

Editeur : Chapman and Hall/CRC, 2019

Synopsis

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.

A propos du livre

À propos de l'auteur

Faticoni, Theodore G.

Détails de l'édition

• Éditeur: Chapman and Hall/CRC
• Date d'édition: 2019
• Langue: anglais
• ISBN 10: 1584887265
• ISBN 13: 9781584887263
• Reliure: Relié
• Nombre de pages: 315
• Coordonnées du fabricant: CRC Press; https://www.routledge-ny.com; ; 6000 BROKEN SOUND PARKWAY, NW SUITE 300; BOCA RATON; FL; 33487; Etats-Unis
• Personne responsable: non disponible