Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CENTRAL SEPARABLE ALGEBRAS OVER REGULAR DOMAIN

  • Choi, Eun-Mi (Department of Mathematics, Han Nam University) ;
  • Lee, Hei-Sook (Department of mathematics, Ewha Womans University)
  • Published : 1999.08.01
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Abstract

Over a field k, every schur k-algebra is a cyclotomic algebra due to Brauer-Witt theorem. Similarly every projective Schur k-division algebra is itself a radical algebra by Aljadeff-Sonn theorem. We study the two theorems over a certain commutative ring, and prove similar results over regular domain containing a field.

Keywords

References

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