Some Remarks on Regular p-table Algebra

Abstract:

Let $(A, B)$ be a standard $p$-table algebra and assume that $O^{\vartheta}(B) \subseteq O_{\vartheta}(B)$. Let $b$ be an element in $B$. Then we have $b\bar{b}b=b$. Since regular relations satisfy $b\bar{b}b=b$, we have investigated regular relations of standard $p$-table algebra. Also, we give the structure constants of standard regular $p$-table algebra.

Keywords:

Table algebra, Thin residues, Thin radical, Regular.