Extensions of Rings and Modules

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Birkenmeier, Gary F. (Autor), Park, Jae Keol (Autor), Rizvi, S Tariq (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Temas:
Algebra.
Functional analysis.
Algebras, Linear.
Functional Analysis.
Linear Algebra.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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