On weakly (p, D)-separable polynomials in skew polynomial rings

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  • On weakly $(tilde{rho}, tilde{D})$-separable polynomials in skew polynomial rings (Algebras, logics, languages and related areas)

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説明

Separable polynomials in skew polynomial rings were studied extensively by Y. Miyashita, T. Nagahara, S. Ikehata, and G. S eto. In particular, Ikehata gave the characteri ation of (overline{rho}, overline{D})-separable polynomials in skew polynomial rings. In this article, we shall introduce the notion of weakly (overline{rho}, tilde{D})-separable polynomials in skew polynomial rings, and we shall give a characteri ation of the (overline{p}, overline{D})-separability and that of the weak (overline{rho}, overline{D})-separability.

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