In this paper, we continue to study properties of skew polynomial ring $$R[x;lpha ,delta ]$$ R [ x ? α , δ ] , where R is an associative ring equipped with an endomorphism $$lpha$$ α and an $$lpha$$ α -derivation $$delta$$ δ . We first introduce weak ( $$lpha ,delta$$ α , δ )-skew Armendariz ideals, a generalization of ( $$lpha ,delta$$ α , δ )-compatible ideals have the insertion of factors property (or simply, IFP). We also prove that if J is a weak ( $$lpha ,delta$$ α , δ )-skew Armendariz ideal of R , then J [ x ] is a weak ( $$lpha ,delta$$ α , δ )-skew Armendariz ideal of R [ x ].
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