Nilpotency property in table algebras

JOURNAL OF ALGEBRA

卷:226

Article

Barghi, AR

关键词: C-algebra;    table algebra;    dual algebra;    nilpotent table algebra;    finite dimensional algebra;   

DOI  :  10.1006/jabr.1999.8191

来源: Elsevier

【 摘 要 】

Table algebras form an important class of C-algebras. The dual of a table algebra may not be a table algebra, but just a C-algebra. It is not known under what conditions the dual of a table algebra is also a table algebra. In this paper we prove that if a table algebra has nilpotency property then its dual also is a table algebra. Finally we conclude that if(A, B) is a nilpotent table algebra then its dual also is a nilpotent table algebra. (C) 2000 Academic Press.

【 授权许可】

Free