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The homomorphism equation on semilattices

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Abstract

Several results concerning the homomorphism functional equation

$$\begin{aligned} f\left( x\vee y\right) =f\left( x\right) \vee f\left( y\right) , \end{aligned}$$

in the class of semilattices, as well as other similar equations, are presented in the paper.

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Acknowledgements

the author gratefully acknowledges the attentive reading of the paper made by an anonymous referee who also contributed several corrections and improvements.

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Authors and Affiliations

  1. Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Laboratorio de Acústica y Electroacústica, Facultad de Cs. Exactas, Ing. y Agrim., Univ. Nac. de Rosario, Riobamba 245 Bis, 2000, Rosario, Argentina

    Lucio R. Berrone

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  1. Lucio R. Berrone
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Correspondence to Lucio R. Berrone.

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Berrone, L.R. The homomorphism equation on semilattices. Aequat. Math. 94, 803–816 (2020). https://doi.org/10.1007/s00010-020-00699-1

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  • DOI: https://doi.org/10.1007/s00010-020-00699-1

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