On the Jacobson radical of skew inverse Laurent series ring

Abstract

In this paper, we study the Jacobson radical of the skew inverse Laurent series ring [Formula: see text], where [Formula: see text] is an associative unitary ring, equipped with an automorphism [Formula: see text] and an [Formula: see text]-derivation [Formula: see text]. For this aim, we introduce the condition [Formula: see text] in order to obtain the relation between [Formula: see text] and [Formula: see text]. In the following, some examples of the rings which satisfy the condition [Formula: see text] are mentioned.