Extensions of Rings and Modules

Extensions of Rings and Modules by Gary F. Birkenmeier, Jae Keol Park, S Tariq Rizvi.

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...

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Bibliographic Details
Main Authors: Birkenmeier, Gary F. (Author), Park, Jae Keol (Author), Rizvi, S Tariq (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Springer eBook Collection.
Subjects:
Algebra.
Functional analysis.
Matrix theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.

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