Abstract: By introducing the concept of (σ,δ)-SILS weak Armendariz rings, we investigated the weak Armendariz properties of general skew inverse Laurent series rings. By using the itemized analysis method on series, we prove that if R is weak -(σ,δ)-compatible and nil(R) is a nilpotent ideal, then R is (σ,δ)-SILS weak Armendariz ring.

Key words: skew inverse Laurent series ring, weak Armendariz property, weak(σ,δ)compatible