대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제42권3호
  • /
  • Pages.453-467
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  • 2005
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SCALAR EXTENSION OF SCHUR ALGEBRAS

  • 발행 : 2005.08.01
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초록

Let K be an algebraic number field. If k is the maximal cyclotomic subextension in K then the Schur K-group S(K) is obtained from the Schur k-group S(k) by scalar extension. In the paper we study projective Schur group PS(K) which is a generalization of Schur group, and prove that a projective Schur K-algebra is obtained by scalar extension of a projective Schur k-algebra where k is the maximal radical extension in K with mild condition.

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참고문헌

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