2020/04/28 by Andrés Cañas, Cañas, Andrés, Víctor Marín +3
Mathematics · #Rings, Modules, and Algebras #Algebraic structures and combinatorial models #Advanced Operator Algebra Research
paper · pdf · doi:10.48550/arxiv.2004.13258
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 Cn.