On $tilde{D}$-separable polynomials in skew polynomial rings of derivation type (Algebraic system, Logic, Language and Related Areas in Computer Sciences II)

Abstract

The notion of ($tilde{p}$, $tilde{D}$)-separable polynomials in skew polynomial rings was introduced by S. Ikehata, and X. Lou gave a characterization of $tilde{p}$-separable polynomials in skew polynomial rings of automorphism type. In this paper, we shall give a new characterization of $tilde{D}$-separable polynomials in skew polynomial rings of derivation type.