%0 Journal Article
%A QIU Weisheng
%T Self-orthogonal Ideal in Group Algebras
%D 2001
%R
%J Acta Scientiarum Naturalium Universitatis Pekinensis
%P 294-296
%V 37
%N 3
%X It is proved that every nonzero ideal in a finite-dimensional semi-simple algebra over a field is generated by an unique central idempotent. Applying this result it is proved that for arbitrary finite group *G* and arbitrary field *F*which characteristic does not divide |*G*|, the only ideal in the group algebra *F*[*G*] that is both self-orthogonal and reversible is the zero ideal.
%U https://xbna.pku.edu.cn/EN/abstract/article_1155.shtml