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arXiv · 2206.06042

Algebraically closed $σ$-fields

Masood Aryapoor
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Abstract

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.

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Masood Aryapoor. 2022-06-13. Algebraically closed $σ$-fields. https://doi.org/10.1142/s0219498825500367

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