INJECTIVE MODULES AND INJECTIVE QUOTIENT RINGS
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, ri...
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| Format: | eBook |
| Language: | English |
| Published: |
BOCA RATON :
CRC Press,
2019.
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| Series: | Lecture notes in pure and applied mathematics ;
72. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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 .) |
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| Physical Description: | 1 online resource |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 0429332882 9780429332883 9781000665178 1000665178 9781000657319 1000657310 9781000673036 1000673030 |