Direct Sum Decompositions of Torsion-Free Finite Rank Groups

Informationen zum Autor Faticoni, Theodore G. Klappentext 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. Zusammenfassung Explores the advanced topics in direct sum decompositions of abelian groups and their consequences. This book covers isomorphism, endomorphism, refinement, the Baer splitting property, Gabriel filters, and endomorphism modules. It concludes with appendices that contain background material and numerous examples. Inhaltsverzeichnis 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.

Product details

• Authors: Theodore G. Faticoni, Theodore G. (Fordham University Faticoni, Faticoni Theodore G.
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 28.03.2007
• EAN: 9781584887263
• ISBN: 978-1-58488-726-3
• No. of pages: 340
• Series: Chapman & Hall/CRC Pure and Applied Mathematics; Chapman & Hall/CRC Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, MATHEMATICS / General, MATHEMATICS / Number Theory, MATHEMATICS / Algebra / General, Number Theory