交换局部环上的强拟诣零clean 2×2矩阵  

STRONGLY QUASI-NIL CLEAN 2×2 MATRICES OVER COMMUTATIVE LOCAL RINGS

作　　者：胡蝶 殷晓斌 沙玲玉 HU Die;YIN Xiao-bin;SHA Ling-yu(Department of Mathematics,Anhui Normal University,Wuhu 241002,China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241002

出　　处：《数学杂志》2021年第4期311-315,共5页Journal of Mathematics

基　　金：Supported by Anhui Provincial Natural Science Foundation(2008085MA06);the Key Project of Anhui Education Committee(gxyqZD2019009).

摘　　要：本文研究了交换局部环上的2阶矩阵的强拟诣零clean性,利用矩阵的特征方程的方法,给出了交换局部环上的2阶矩阵是强拟诣零clean的具体判别方法,所得结果丰富并推广了强拟诣零clean的研究.In this paper,we determine when a 2×2 matrix over a commutative local ring is strongly quasi-nil clean.We provide an effective answer to this question by using the characteristic equation of the matrix.This conclusion enrichs and generalizes the theory of strongly quasi-nil clean rings.

关 键 词：强拟诣零clean元 矩阵 局部环 

分 类 号：O153.3[理学—数学]