Direct Sum Decompositions of Torsion-Free Finite Rank Groups

ISBN-13: 9780367389321 / Angielski / Miękka / 2019 / 344 str.

Theodore G. Faticoni

Opis

Direct Sum Decompositions of Torsion-Free Finite Rank Groups examines advanced topics in the direct sum decompositions of abelian groups and their consequences. The book offers a unified approach to theoretic properties, covering isomorphism, endomorphism, refinement, the Baer splitting property, Gabriel filters, and endomorphism modules. The author makes extensive use of illustrative examples, with several open-ended examples serving as exercises at the end of each chapter to reinforce the concepts presented throughout the text. Useful appendices containing background material appear at the end of the book, making it an ideal research tool for mathematicians studying abelian groups.

Spis treści

Abstract. Notation and Preliminary Results. Motivation by Example. Local Isomorphism is Isomorphism. Commuting Engomorphisms. Refinement Revisited. The Baer Splitting Property. J-groups, L-groups, and S-groups. Gabriel Filters. Endomorphism Modules. Appendices. Bibliography. Index.

O autorze

Faticoni, Theodore G.