On generalized graded crossed products and Kummer subfields of simple algebras
Bull. Korean Math. Soc. 2019 Vol. 56, No. 4, 939-959
https://doi.org/10.4134/BKMS.b180722
Published online July 31, 2019
Driss Bennis, Karim Mounirh, Fouad Taraza
Research Center CeReMAR; Research Center CeReMAR; Research Center CeReMAR
Abstract : {\normalsize } Using generalized graded crossed products, we give necessary and sufficient conditions for a simple algebra over a Henselian valued field (under some hypotheses) to have Kummer subfields. This study generalizes some known works. We also study many properties of generalized graded crossed products and conditions for embedding a graded simple algebra into a matrix algebra of a graded division ring.
Keywords : generalized graded crossed products, simple algebra, Henselian valued field, graded division ring
MSC numbers : 16K50, 16W50, 16W60, 16W70
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