Non-Commutative Valuation Rings and Semi-Hereditary Orders (K-Monographs in Mathematics) pdf epub mobi txt 电子书 下载 2024


Non-Commutative Valuation Rings and Semi-Hereditary Orders (K-Monographs in Mathematics)

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H. Marubayashi
Springer
1997-05-31
200
USD 140.00
Hardcover
K-Monographs in Mathematics
9780792345626

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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 Prufer 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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