摘要：
Considering the quasi-Armendariz property of the subring S n (R )of n × n matrix ring Mn (R),the author proved that if R is a semiprime ring with compatible endomorphismsα1 ,α2 ,…,αn , then S n (R)is a quasi-Armendariz ring for any positive integer n ≥2,and that if R is a commutative ring andα1 ,α2 ,…,αn are compatible endomorphisms of R such thatα1 =αn ,then R is a semiprime ring if and only if S n (R)is a quasi-Armendariz ring.%考虑 n 阶矩阵环M n (R)的子环 Sn(R)的拟 Armendariz 性质,证明了如果 R 是半素环,α1,α2,…,αn 是R 的相容自同态,则对任意正整数 n≥2,Sn(R)是拟 Armendariz 环；并证明了如果 R 是交换环,α1,α2,…,αn 是 R 的相容自同态且α1=αn ,则 R 是半素环当且仅当Sn(R)是拟 Armendariz 环。
