Algebraically closed $σ$-fields
Fuente:
arXiv
Guardado en:
| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912694215376896 |
|---|---|
| author | Aryapoor, Masood |
| author_facet | Aryapoor, Masood |
| contents | The concept of a skew root of a skew polynomial is used to introduce notions of algebraic closedness for $σ$-fields, that is, a field equipped with an endomorphism. It is shown that every $σ$-field can be embedded in algebraically closed $σ$-fields of different types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_06042 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Algebraically closed $σ$-fields Aryapoor, Masood Rings and Algebras The concept of a skew root of a skew polynomial is used to introduce notions of algebraic closedness for $σ$-fields, that is, a field equipped with an endomorphism. It is shown that every $σ$-field can be embedded in algebraically closed $σ$-fields of different types. |
| title | Algebraically closed $σ$-fields |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2206.06042 |