On Weakly Separable Polynomials in Skew Polynomial Rings
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910043451949056 |
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| author | Yamanaka, Satoshi |
| author_facet | Yamanaka, Satoshi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05943 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Weakly Separable Polynomials in Skew Polynomial Rings Yamanaka, Satoshi Rings and Algebras 16S36 (Primary), 16S32 (Secondary) 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. |
| title | On Weakly Separable Polynomials in Skew Polynomial Rings |
| topic | Rings and Algebras 16S36 (Primary), 16S32 (Secondary) |
| url | https://arxiv.org/abs/2603.05943 |