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 Central separable algebras over regular domain Bull. Korean Math. Soc. 1999 Vol. 36, No. 3, 503-512 Eunmi Choi and Heisook Lee Han Nam University, Ewha Womans University 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 : Brauer algebra, Schur algebra, regular domain MSC numbers : 16H05, 16S34, 20C Full-Text :