Abstract

In this article we introduce the notion of polynomial table algebras, and discuss their covering numbers. In particular, we prove that the real table algebras (A, B) with cn(B) = 2|B| − 2 are polynomial table algebras such that, by a suitable reordering of xi ∈ B if necessary, the first intersection matrices are tridiagonal as follows, [formula], where bi > 0, cj > 0, ak > 0.

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