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Injective Modules and Injective Quotient Rings.
・ISBN 978-0-8247-1632-5 paper GB£ 245.00
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| 著者・編者 | Faith, Carl, |
|---|---|
| シリーズ | Lecture Notes in Pure and Applied Mathematics |
| 出版社 | (CRC Press Inc, US) |
| 出版年月 | 1982 |
| ページ数 | 120 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-1239＞ |
解説
First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)