International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 75247, 7 pages
doi:10.1155/IJMMS/2006/75247
P-clean rings
Mathematics and Information Science School, Shandong Institute of Business and Technology, Yantai 264005, China
Received 20 March 2006; Accepted 21 March 2006
Copyright © 2006 Weixing Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.