Note on ($tilde{rho}$, $tilde{D}$)-separable polynomials in skew polynomial rings (Logic, Language, Algebraic system and Related Areas in Computer Science)

Abstract

The notion of ($tilde{rho}$, $tilde{D}$)-separable polynomials in skew polynomial rings was introduced by S. Ikehata. In this paper, we shall give a new characterization of ($tilde{rho}$, $tilde{D}$)-separable polynomials in skew polynomial rings which shows the difference between separable systems and ($tilde{rho}$, $tilde{D}$)-separable systems.