| 紀錄類型: |
書目-語言資料,印刷品
: Monograph/item
|
| 杜威分類號: |
512/.4 |
| 書名/作者: |
Quasi-Frobenius rings // W.K. Nicholson, M.F. Yousif. |
| 作者: |
Nicholson, W. Keith, |
| 其他作者: |
Yousif, M. F. |
| 面頁冊數: |
1 online resource (xvii, 307 pages) : : digital, PDF file(s). |
| 附註: |
Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 標題: |
Quasi-Frobenius rings. |
| ISBN: |
9780511546525 (ebook) |
| 內容註: |
Background -- Mininjective rings -- Semiperfect mininjective rings -- Min-CS rings -- Principally injective and FP rings -- Simple injective and dual rings -- FGF rings -- Johns rings -- A generic example -- Morita equivalence -- Perfect, semiperfect, and semiregular rings -- The Camps-Dicks theorem. |
| 摘要、提要註: |
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. |
| 電子資源: |
http://dx.doi.org/10.1017/CBO9780511546525 |