Strong cleanness of generalized matrix rings over a local ring |
| |
Authors: | Gaohua Tang Yiqiang Zhou |
| |
Affiliation: | 1. School of Mathematical Science, Guangxi Teacher’s Education University, Nanning 530001, China;2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NFLD, Canada A1C 5S7 |
| |
Abstract: | Let Ks(R) be the generalized matrix ring over a ring R with multiplier s. For a general local ring R and a central element s in the Jacobson radical of R, necessary and sufficient conditions are obtained for Ks(R) to be a strongly clean ring. For a commutative local ring R and an arbitrary element s in R, criteria are obtained for a single element of Ks(R) to be strongly clean and, respectively, for the ring Ks(R) to be strongly clean. Specializing to s = 1 yields some known results. New families of strongly clean rings are presented. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|