W. K. Nicholson

Quasi-Frobenius Rings (eBook, PDF)

• Format: PDF

Produktbeschreibung

A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all four combinations are equivalent). The study of these rings grew out of the theory of representations of a finite group as a group of matrices over a field, and the subject is intimately related to duality, the duality from right to left modules induced by the hom functor and the duality related to annihilators. The present extent of the theory is vast, and this book makes no attempt to be encyclopedic; instead it provides an elementary, self-contained account of the basic facts about these rings at a level allowing researchers and graduate students to gain entry to the field.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 8. September 2003
• Englisch
• ISBN-13: 9780511058776
• Artikelnr.: 38184899

Inhaltsangabe

1. Background
2. Mininjective rings
3. Semiperfect mininjective rings
4. Min-CS rings
5. Principally injective and FP-rings
6. Simple-injective and dual rings
7. FGF rings
8. Johns rings
9. A generic example
Appendix A. Morita equivalence
Appendix B. Semiperfect and semiregular rings
Appendix C. The Camps-Dicks theorem.