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.