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The generalized Szendrei expansion of an ℜ-unipotent semigroup

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Abstract

The generalized Szendrei expansion S Pr is defined for an \( \mathcal{R} \)-unipotent semigroup S and the projection of S Pr onto S is proved to be an initial object in the category of all F-morphisms onto S. Also, the languages recognized by these expansions are described following the semidirect product principle.

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Correspondence to M. J. J. Branco.

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This work was developed within the projects ISFL-1-143 and PTDC/MAT/69514/2006 of Centro de Álgebra da Universidade de Lisboa, financed by FCT and FEDER.

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Branco, M.J.J., Gomes, G.M.S. The generalized Szendrei expansion of an ℜ-unipotent semigroup. Acta Math Hung 123, 11–26 (2009). https://doi.org/10.1007/s10474-009-8025-1

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  • DOI: https://doi.org/10.1007/s10474-009-8025-1

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