On generalized graded crossed products and Kummer subfields of simple algebras
Bull. Korean Math. Soc.
Published online July 9, 2019
Driss Bennis, Karim MOUNIRH, and Fouad Taraza
Mohammed V University in Rabat
Abstract : 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 and 16W70
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