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Projective schur algebras over a field of positive characteristic

Published online by Cambridge University Press:  17 April 2009

Eunmi Choi  and
Heisook Lee
Eunmi Choi
Affiliation:
Department of Mathematics, HanNam University, Taejon 300–791, Korea e-mail: emc@eve.hannam.ac.kr
Heisook Lee
Affiliation:
Department of Mathematics, Ewha Womans University, Seoul 120–750, Korea e-mail: hsllee@mm.ewha.ac.kr
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Abstract

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If the characteristic of a field K is not zero then the Schur group S(K) = 0. In this paper we ask a similar question for the projective Schur group PS(K) and prove that the subgroup of PS(K) consisting of radical algebras is trivial. This disproves the conjecture that every projective Schur algebra is similar to a radical algebra.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 103 - 106
Copyright
Copyright © Australian Mathematical Society 1998

References

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