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arXiv · 1602.03020

On $\kappa$-reducibility of pseudovarieties of the form $\bf V*\bf D$

José Carlos Costa·Conceição Nogueira·M. Lurdes Teixeira
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Abstract

This paper deals with the reducibility property of semidirect products of the form $\bf V*\bf D$ relatively to graph equation systems, where $\bf D$ denotes the pseudovariety of definite semigroups. We show that, if the pseudovariety $\bf V$ is reducible with respect to the canonical signature $\kappa$ consisting of the multiplication and the $(\omega-1)$-power, then $\bf V*\bf D$ is also reducible with respect to $\kappa$.

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José Carlos Costa, Conceição Nogueira, M. Lurdes Teixeira. 2016-02-09. On $\kappa$-reducibility of pseudovarieties of the form $\bf V*\bf D$. https://arxiv.org/abs/1602.03020

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