Polynomial Table Algebras and Their Covering Numbers Original Research Article

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) = 2B − 2 are polynomial table algebras such that, by a suitable reordering of xi set membership, variant B if necessary, the first intersection matrices are tridiagonal as follows, [formula], where bi > 0, cj > 0, ak > 0.