On $\kappa$-reducibility of pseudovarieties of the form $\mathbf{V}\ast \mathbf{D}$

José Carlos Costa, Conceição Nogueira, M. Lurdes Teixeira

This paper deals with the reducibility property of semidirect products of the form $\mathbf{V}\ast \mathbf{D}$ relatively to graph equation systems, where $\mathbf{D}$ denotes the pseudovariety of de…