约化环上矩阵环的一类拟Armendariz子环

A class of quasi-Armendariz subrings of matrix rings over reduced rings

讨论了reduced环上n阶矩阵环Mn(R)的一类特殊拟Armendariz子环Sn(R)。证明了如果R是reduced环,α2,…,αn是R的相容自同态,那么Sn(R)是拟Armendariz环。

A class of special quasi-Armendariz subrings Sn（ R） of the n × n matrix ring Mn（ R） over a reduced ring is investigated. It is shown that Sn（ R） is a quasi-Armendariz ring if R is a reduced ring with compatible endomorphismsα2,…,αn.