A ring R is said to be quasi-central Armendariz if f(x) =∑i=0ma ixi and g(x) =∑j=0nb jxj ∈ R[x] satisfy f(x)g(x) = 0 then Raibj = aibjR for all i and j. It is proved that if R is a quasi-central Armendariz ring then f(x)g(x) = 0 implies that all aibj are in its Wedderburn radical W(R), generalizing and improving the existing result in the literature.

中文翻译：

---

准中心 Armendariz 环

戒指R据说是准中心 Armendariz 如果F(X) =∑一世=0米一种 一世X一世和G(X) =∑j=0nb jXj ∈ R[X]满足F(X)G(X) = 0然后R一种一世bj = 一种一世bjR对所有人一世和j. 证明如果R是一个准中心 Armendariz 环F(X)G(X) = 0意味着所有一种一世bj在其韦德伯恩激进W(R)，概括和改进文献中的现有结果。