このエントリーをはてなブックマークに追加
ID 33505
FullText URL
Author
Zhongkui, Liu
Xiaoyan, Yang
Abstract

Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R. Then the skew monoid ring R*S induced by α has the same triangulating dimension as R. Furthermore, if R is a PWP ring, then so is R*S.

Keywords
generalized triangular matrix representation
quasi-Baer ring
PWP ring
triangulating dimension
Published Date
2010-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume52
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
英語
File Version
publisher
Refereed
True
Submission Path
mjou/vol52/iss1/8