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.