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Nilpotency Property in Table Algebras

✍ Scribed by A.Rahnamai Barghi

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 69 KB
Volume: 226
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8191

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✦ Synopsis

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.

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