Non-Commutative Valuation Rings and Semi-Hereditary Orders /
This is the first self-contained summary of non-Noetherian orders in a simple Artinian ring, a subject in which much progress has been made in the last decade. The contents of the book are mainly Dubrovin valuation rings and semi-hereditary orders, including Prüfer and semi-local Bezout orders, whic...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands,
1997.
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| Series: | K-monographs in mathematics ;
3. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This is the first self-contained summary of non-Noetherian orders in a simple Artinian ring, a subject in which much progress has been made in the last decade. The contents of the book are mainly Dubrovin valuation rings and semi-hereditary orders, including Prüfer and semi-local Bezout orders, which are considered, in a sense, as global theories of Dubrovin valuation rings. These are then developed further, and applied to give some examples such as Dubrovin valuation rings in crossed product algebras, semi-hereditary maximal order in certain matrix rings, and the idealizers of semi-hereditary orders and Henselization of Bezout orders. Audience: This volume will be of interest to researchers and graduate students whose work involves non-commutative ring theory and module theory. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 192 pages) |
| ISBN: | 9789401724364 (electronic bk.) 9401724369 (electronic bk.) |
| ISSN: | 1386-2804 ; |