中文摘要：

引入了弱σ-斜拟Armendariz环的概念，研究了弱σ-斜拟Armendariz环的基本性质，证明了环R是弱σ-斜拟Armendariz环当且仅当环Tn（R）是弱σ-斜拟Armendariz环，推广了σ-斜拟Armendariz环的相应结果。

英文摘要：

The notion of weakσ-skew quasi Armendariz ring is introduced.Some basic properties of such rings are stud-ied.We show that a ring R is weakσ-skew quasi Armendariz ring if and only if the ring Tn（R） is weakσ-skew quasi Armendariz ring.This generalizes the corresponding results ofσ-skew quasi Armendariz rings.