Algebraically closed $\sigma$-fields
Rings and Algebras
2025-11-11 v1
Abstract
The concept of a skew root of a skew polynomial is used to introduce notions of algebraic closedness for -fields, that is, a field equipped with an endomorphism. It is shown that every -field can be embedded in algebraically closed -fields of different types.
Cite
@article{arxiv.2206.06042,
title = {Algebraically closed $\sigma$-fields},
author = {Masood Aryapoor},
journal= {arXiv preprint arXiv:2206.06042},
year = {2025}
}