Strong cleanness of generalized matrix rings over a local ring

作者：Tang, Gaohua^*; Zhou, Yiqiang

来源：Linear Algebra and Its Applications, 2012, 437(10): 2546-2559.

DOI：10.1016/j.laa.2012.06.035

• Generalized matrix ring
• Local ring
• Strongly clean ring

Let K-s(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 K-s(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 K-s(R) to be strongly clean and, respectively, for the ring K-s(R) to be strongly clean. Specializing to s = 1 yields some known results. New families of strongly clean rings are presented.

• 出版日期2012-11-15
• 单位南宁师范大学