摘要
引入强3-Armendariz环的概念,研究了它们的性质。给出环R是强3-Armendariz环的充要条件。构造了是强3-Armendariz环但不是幂级数Armendariz环的例子。证明了若环R是约化环,则R[X]/(xn)是强3-Armendariz环,其中(xn)是由xn生成的R[x]的理想。
We introduce strongly 3 -Armendariz rings, investigate their properties. Moveover, sufficient and necessary conditions are given for ring R to be a strongly 3 - Armendariz ring. We construct strongly 3 - Armendaiz rings which are not powerserieswise Armendaiz. It is shown that if a ring R is reduced then R[ X]/（xn） is a strongly 3 - Armendariz ring, where （xn） is the ideal of R[x] generated by xn and n is a positive integer.
出处
《数学理论与应用》
2011年第3期57-60,共4页
Mathematical Theory and Applications
