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Quasi-Frobenius Rings.
・ISBN 978-0-521-81593-2 hard GB£ 121.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-54652-5
| 著者・編者 | Nicholson, W. K. / Yousif, M. F., |
|---|---|
| シリーズ | Cambridge Tracts in Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2003 |
| ページ数 | 326 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10893＞ |
解説
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.