Quasi-Frobenius Rings

ISBN-13: 9780521815932 / Angielski / Twarda / 2003 / 326 str.

W. K. Nicholson; M. F. Yousif; B. Bollobas

Opis

This book provides an elementary, complete account of quasi-Frobenius rings at a level allowing researchers and graduate students to gain entry to the field. 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 present extent of the theory is wide-ranging.

Recenzje

'The authors have achieved two seemingly incompatible goals: to provide an elementary introduction to the classical theory of quasi-Frobenius rings, and to bring the reader up to the current research in the field. This makes the book interesting both for graduate students and researchers in contemporary module theory.' EMS Newsletter

Spis treści

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.