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arXiv · 2603.05943

On Weakly Separable Polynomials in Skew Polynomial Rings

Satoshi Yamanaka
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Abstract

The notion of weakly separable extensions was introduced by N. Hamaguchi and A. Nakajima as a generalization of separable extensions. The purpose of this article is to give a characterization of weakly separable polynomials in skew polynomial rings. Moreover, we shall show the relation between separability and weak separability in skew polynomial rings of derivation type.

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Satoshi Yamanaka. 2026-03-06. On Weakly Separable Polynomials in Skew Polynomial Rings. https://doi.org/10.18926/mjou%2F62795

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