• 제목/요약/키워드: generalized graded crossed products

검색결과 1건 처리시간 0.014초

ON GENERALIZED GRADED CROSSED PRODUCTS AND KUMMER SUBFIELDS OF SIMPLE ALGEBRAS

  • Bennis, Driss;Mounirh, Karim;Taraza, Fouad
    • 대한수학회보
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    • 제56권4호
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    • pp.939-959
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    • 2019
  • 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.