In this paper, we introduce the little q-Schur algebra s(2,r) of type A1. The main purpose of this paper is to construct a monomial base of s(2,r). [ABSTRACT FROM AUTHOR]
In this paper we produce a finite algebra which generates a variety with a PSPACE-complete membership problem. We produce another finite algebra with a γ function that grows exponentially. The results are obtained via a modification of a construction of the algebra A(T) that was introduced by McKenzie in 1996. [ABSTRACT FROM AUTHOR]