On Weakly Separable Polynomials in Skew Polynomial Rings
Rings and Algebras
2026-03-09 v1
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.
Keywords
Cite
@article{arxiv.2603.05943,
title = {On Weakly Separable Polynomials in Skew Polynomial Rings},
author = {Satoshi Yamanaka},
journal= {arXiv preprint arXiv:2603.05943},
year = {2026}
}
Comments
15 pages. Author's accepted manuscript of the article published in Math. J. Okayama Univ. 64 (2022), 47-61