On weakly separable polynomials and weakly quasi-separable polynomials in $q$-skew polynomial rings (Algebraic System, Logic, Language and Related Areas in Computer Science)

Abstract

The notion of weakly separable extensions and weakly quasi-separable extensions were were introduced by N. Harriaguchi and A. Nakajima as generalizations of separable extensions. and quasi-separable extensions, respectively. In this paper, we shall study weakly separable polynomials and weakly quasiseparable polynomials in q-skew polynomial ring.