The residuated lattice-orderability of idempotent monoids

Autori

  • Wei Chen Minnan Normal University - School of Mathematics and Statistics

Parole chiave:

conical idempotent residuated lattice, semilattice, idempotent semigroup

Abstract

In this paper, we study a class of residuated lattices, namely, conical idempotent residuated lattices. We give necessary and sufficient conditions for an idempotent semigroup with an identity to be the semigroup reduct of some conical idempotent residuated lattice.

Cover of n°53 Italian Journal of Pure and Applied Mathematics

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Pubblicato

2025-05-19

Come citare

Chen, W. (2025). The residuated lattice-orderability of idempotent monoids. Italian Journal of Pure and Applied Mathematics, 53, 215–236. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/5662

Fascicolo

N°53 - Maggio 2025

Sezione

Articoli - Forum Editrice

Licenza

Copyright (c) 2025 Wei Chen

Creative Commons License

TQuesto lavoro è fornito con la licenza Creative Commons Attribuzione 4.0 Internazionale.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)