3 problems

Let … be a Burnside semigroup, and for $s\in\mathcal{B}(m,n)$ let $S^{\mathscr{J}}_s$ be the finite semigroup formed by the elements $\mathscr{J}$-above $s$, together with zero…

Let $(S,A)$ be a finite semigroup with generating set $A$, and let $\mathsf{KR}(S,A)$ and $\mathsf{Mc}$ denote the Karnofsky–Rhodes and McCammond expansions, respectively. The expa…

Let $S$ be a finite semigroup with generating set $A$, let $(\mathsf{KR}(S,A),A)$ be its Karnofsky–Rhodes expansion, and let $K(\mathsf{KR}(S,A))$ be a Kleene expression for its no…