Partial actions and cyclic Kummer's theory
Rings and Algebras
2020-04-29 v1
Abstract
We introduce a theory of cyclic Kummer extensions of commutative rings for partial Galois extensions of finite groups, extending some of the well-known results of the theory of Kummer extensions of commutative rings developed by A. Z. Borevich. In particular, we provide necessary and sufficient conditions to determine when a partial -kummerian extension is equivalent to either a radical or a -radical extension, for some subgroup of the cyclic group .
Cite
@article{arxiv.2004.13258,
title = {Partial actions and cyclic Kummer's theory},
author = {Andrés Cañas and Victor Marín and Héctor Pinedo},
journal= {arXiv preprint arXiv:2004.13258},
year = {2020}
}