Extensions of Rings and Modules

• Κύριοι συγγραφείς: Birkenmeier, Gary F. (Συγγραφέας), Park, Jae Keol (Συγγραφέας), Rizvi, S Tariq (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Θέματα: Mathematics.; Algebra.; Matrix theory.; Functional analysis.; Functional Analysis.; Linear and Multilinear Algebras, Matrix Theory.

The focus of this monograph is the study of rings and modules which have a rich supply of direct summands with respect to various extensions. The first four chapters of the book discuss rings and modules which generalize injectivity (e.g., extending modules), or for which certain annihilators become...

Πίνακας περιεχομένων:

• Preliminaries and Basic Results
• Injectivity and Some of Its Generalizations
• Baer, Rickart, and Quasi-Baer Rings
• Baer, Quasi-Baer Modules, and Their Applications
• Triangular Matrix Representations and Triangular Matrix Extensions
• Matrix, Polynomial, and Group Ring Extensions
• Essential Overring Extensions - Beyond the Maximal Ring of Quotients
• Ring and Module Hulls
• Hulls of Ring Extensions.-  Applications to Rings of Quotients and C* Algebras
• Open Problems and Questions
• References
• Index.