Skew hochschild extension

Abstract

WOS:000375773400001In this study, we construct the ring H-n (R; alpha; sigma) on a ring R with a new multiplication, a Hochschild 2-cocycle sigma and an endomorphism alpha of R. This construction is a generalization of the ring R[x; alpha]/x(n+1). We show some properties of the ring H-n (R; alpha; sigma) and we extend some well known results of R[x; alpha]/x(n+1) to H-n (R; alpha; sigma)