Two questions of Kowalski-Słomczyńska

Abstract

That the inclusion $Q(F_3(X))\subseteq {\mathsf{Pa}}_3^{-}$ is proper and Mod$({\mathbf{qb}}_3)$ is not generated by free $p$-algebras is proved, answering two open questions from Kowalski-Słomczyńska \cite{KowSlom}.