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arXiv · 2004.13258

Partial actions and cyclic Kummer's theory

Andrés Cañas·Victor Marín·Héctor Pinedo
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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 $n$-kummerian extension is equivalent to either a radical or a $I$-radical extension, for some subgroup $I$ of the cyclic group $C_n$.

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Andrés Cañas, Victor Marín, Héctor Pinedo. 2020-04-28. Partial actions and cyclic Kummer's theory. https://arxiv.org/abs/2004.13258

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