Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON GENERALIZED GRADED CROSSED PRODUCTS AND KUMMER SUBFIELDS OF SIMPLE ALGEBRAS

  • Bennis, Driss (Mohammed V University in Rabat Faculty of Sciences Research Center CeReMAR) ;
  • Mounirh, Karim (Mohammed V University in Rabat Faculty of Sciences Research Center CeReMAR) ;
  • Taraza, Fouad (Mohammed V University in Rabat Faculty of Sciences Research Center CeReMAR)
  • Received : 2018.08.01
  • Accepted : 2019.02.08
  • Published : 2019.07.31
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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.

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References

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