On κ-reducibility of pseudovarieties of the form V ∗D

Costa, J. C.; Teixeira, M. L.; Nogueira, Conceição

http://hdl.handle.net/10400.8/14036

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Authors

Costa, J. C.

Teixeira, M. L.

Nogueira, Conceição

Abstract(s)

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