Factorizations of Matrices over Projective-free Rings  

作　　者：I-Iuanyin Chen H. Kose 

机构地区：[1]Department of Mathematics, Hangzhou Normal University Hangzhou 310036, China [2]Department of Mathematics, Ahi Evran University, Kirsehir, Turkey

出　　处：《Algebra Colloquium》2016年第1期23-32,共10页代数集刊（英文版）

基　　金：This research was supported by the Scientific and Technological Research Council of Turkey （2221 Visiting Scientists Fellowship Programme） and the Natural Science Foundation of Zhejiang Province （LY13A010019）, China.

摘　　要：An element of a ring R is called strongly J#-clean provided that it can be written as the sum of an idempotent and an element in J#（R） that commute. In this paper, we characterize the strong J#-cleanness of matrices over projective-free rings. This extends many known results on strongly clean matrices over commutative local rings.An element of a ring R is called strongly J#-clean provided that it can be written as the sum of an idempotent and an element in J#（R） that commute. In this paper, we characterize the strong J#-cleanness of matrices over projective-free rings. This extends many known results on strongly clean matrices over commutative local rings.

关 键 词：strongly J#-matrix characteristic polynomial projective-free ring 

分 类 号：O151.21[理学—数学] N031[理学—基础数学]