Autometrized Lattice Ordered Monoids
Logic
2025-06-24 v3
Abstract
In this paper, we introduce the notion of Autometrized lattice ordered monoids (for short,AL-monoids) as a generalization to DRl-semi groups. We obtain the basic properties of AL-monoids. Also, we prove that Autometrized lattice ordered monoids are equationally definable. Furthermore, we show that AL-monoids are an optimal common abstraction of Boolean algebras and l-groups.
Keywords
Cite
@article{arxiv.2402.00361,
title = {Autometrized Lattice Ordered Monoids},
author = {Tekalign Regasa Ashale and Girum Aklilu Abebe and Kolluru Venkateswarlu},
journal= {arXiv preprint arXiv:2402.00361},
year = {2025}
}
Comments
14 pages; accepted to be published at south east asian bulletin of Mathematics(SEAMS)