M HABIBI

Let be an automorphism of a ring R. The authors [On skew inverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1) (2012) 138-156] applied the concept of Armendariz rings to inverse skew Laurent series rings and introduced skew inverse Laurent-serieswise Armendariz rings. In this article, we study on a special type of these rings and introduce strongly Armendariz rings of inverse skew power series type. We determine the radicals of the inverse skew Laurent series ring R((x_1;a )), in terms of those of R. We also prove that several properties transfer between R and the inverse skew Laurent series extension R((x-1; a )), in case R is a strongly Armendariz ring of inverse skew power series type.

Inverse skew power series extensions, Radical property, Semicommutativerings