ON (α, δ)-SKEW ARMENDARIZ RINGS

For a ring endomorphism and an -derivation , we introduce (, )-skew Armendariz rings which are a generalization of -rigid rings and Armendariz rings, and investigate their properties. A semi prime left Goldie ring is -weak Armendariz if and only if it is -rigid. Moreover, we study on the relationship between the Baerness and p.p. property of a ring R and these of the skew polynomial ring R[x; , ] in case R is (, )-skew Armendariz. As a consequence we obtain a generalization of [11], [14] and [16].