一类三阶矩阵环的 Armendariz 和半交换子环

摘要

We considered a special subring S 3 (R)of 3×3 matrix ring M 3 (R)over a ring R.It is shown that S 3 (R )is an Armendariz and semicommutative ring if R is a reduced ring with compatible endomorphismsα,β.Our results yield more examples of Armendariz rings and semicommutative rings.%考虑环 R 上三阶矩阵环M 3(R)的一类特殊子环 S 3(R)，证明了如果 R 是 reduced 环，α，β是R 的相容自同态，则 S 3(R)是半交换 Armendariz 环，并给出了 Armendariz 环和半交换环的例子。