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

出版者:Springer

作者:H. Marubayashi

页数:200

出版时间:1997-05-31

价格:USD 140.00

装帧:Hardcover

isbn号码:9780792345626

丛书系列:K-Monographs in Mathematics

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.