International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 5, Pages 75247, 7 p.
doi:10.1155/IJMMS/2006/75247
P-clean rings
Weixing Chen
Mathematics and Information Science School, Shandong Institute of Business and Technology, Yantai 264005, China
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.