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On generalized graded crossed products and Kummer subfields of simple algebras
Driss Bennis,Karim Mounirh,Fouad Taraza 대한수학회 2019 대한수학회보 Vol.56 No.4
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.
ON GENERALIZED GRADED CROSSED PRODUCTS AND KUMMER SUBFIELDS OF SIMPLE ALGEBRAS
Bennis, Driss,Mounirh, Karim,Taraza, Fouad Korean Mathematical Society 2019 대한수학회보 Vol.56 No.4
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.