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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Auteurs principaux: Birkenmeier, Gary F., 19..-, Park, Jae Keol (Auteur), Rizvi, S. Tariq (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado: New York, NY : Springer New York 2013.
Cham : Springer Nature
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Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Extensions of Rings and Modules, Texte imprimé, 9780387927152
• Extensions of Rings and Modules, Texte imprimé, 9780387927572
• Extensions of Rings and Modules, Texte imprimé, 9781489997142
Table des matières:
  • 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.