Non-Commutative Valuation Rings and Semi-Hereditary Orders
Hidetoshi Marubayashi · 1997
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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.
Book details
- Year
- 1997
- Language
- English
- Series
- K-Monographs in Mathematics -- 3
- Publisher
- Springer Netherlands
- Editions
- 1
- Pages
- 192
- ISBN
- 9789048148530
Data source: Wikidata
