%0 Journal Article %T 约化环上矩阵环的一类拟Armendariz子环<br>A class of quasi-Armendariz subrings of matrix rings over reduced rings %A 张万儒 %A 郭金生< %A br> %A ZHANG Wan-ru %A GUO Jin-sheng %J 山东大学学报(理学版) %D 2015 %R 10.6040/j.issn.1671-9352.0.2014.310 %X 摘要: 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.<br>Abstract: 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 endomorphisms α2,…,αn %K reduced环 %K 相容自同态 %K 拟Armendariz环 %K < %K br> %K quasi-Armendariz rings %K compatible endomorphism %K reduced rings %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.310