The residuated lattice-orderability of idempotent monoids

Authors

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

Keywords:

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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Published

2025-05-19

How to Cite

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

Issue

N°53 - May 2025

Section

Articoli - Forum Editrice

License

Copyright (c) 2025 Wei Chen

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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