倍幂等元与倍对合元的换位子的可逆性  

INVERTIBILITY OF THE COMMUTATORS OF SCALARIDEMPOTENTS AND SCALAR-INVOLUTORIES

作　　者：左可正[1] 

机构地区：[1]湖北师范学院数学系,湖北黄石435002

出　　处：《数学杂志》2007年第6期669-672,共4页Journal of Mathematics

摘　　要：本文研究在一个有单位元的环中两个倍幂等元的换位子与两个倍对合元的换位子的可逆性问题.利用倍幂等元和倍对合元的性质,得到了两个倍幂等元的换位子与两个倍对合元的换位子可逆的几个充要条件,揭示了倍幂等元和倍对合元与它们的换位子的内在联系.This paper is a study on the invertibility of the commutator of scalar-idempotent elements and scalar-involutory elements of a unitary ring. Using properties of idempotents and invotories, we show several necessary and sufficient conditions for their innvertibility.

关 键 词：有单位元的环 倍幂等元 倍对合元 可逆性 

分 类 号：O153.3[理学—数学]