Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 1999; 36(3): 503-512

Printed September 1, 1999

Copyright © The Korean Mathematical Society.

Central separable algebras over regular domain

Eunmi Choi and Heisook Lee

Han Nam University, Ewha Womans University

Abstract

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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

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