On the semiprimitivity of skew polynomial rings

Abstract

Let R be a left Noetherian ring with the ascending chain condition on right annihilators, let α be a ring monomorphism of R and δ an α-derivation of R . We prove that, if R is semiprime or α-prime, then R [ X ;α, δ] is semiprimitive (and left Goldie), and that J ( R [ X ;α]) equals N ( R )[ X ;α].

Locations

• Proceedings of the Edinburgh Mathematical Society - View - PDF