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P-clean rings

Authors :
Weixing Chen
Source :
International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
Publication Year :
2006
Publisher :
Hindawi Limited, 2006.

Abstract

In this paper we unify the structures of various clean rings by introducing the notion of P-clean rings. Some properties of P-clean rings are investigated, which generalize the known results on clean rings, semiclean rings, n-clean rings, and so forth. By the way, we answer a question of Xiao and Tong on n-clean rings in the negative.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
01611712 and 16870425
Volume :
2006
Database :
Directory of Open Access Journals
Journal :
International Journal of Mathematics and Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
edsdoj.9bff984ba624bba9efe2ce28f100ef8
Document Type :
article
Full Text :
https://doi.org/10.1155/IJMMS/2006/75247
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