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Paper   IPM / M / 440
School of Mathematics
  Title:   Nilpotency Property in Table Algebras
  Author(s):  A. Rahnamai Barghi
  Status:   Published
  Journal: J. Algebra
  No.:  2
  Vol.:  226
  Year:  2000
  Pages:   875-879
  Supported by:  IPM
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 table algebra is also a table algebra. In this paper we prove that a table algebra which has nilpotency property then it's dual also is a table algebra. Finally we conclude if (A,B) is nilpotent table algebra then it's dual also is nilpotent table algebra.

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