Geometry of Autometrized Lattice Ordered Monoids
Logic
2024-02-06 v1
Abstract
In this paper, we study the geometry of AL-monoids by introducing the concept of metric betweeness and its properties t1, t2,, B-linearity, D-linearity, lattice betweeness, B-linearity, and Dlinearity, segments and equilateral triangles. It is proved that there do not exist equilateral triangles in AL-monoids. It is also proved that any AL-monoid is ptolemaic.
Keywords
Cite
@article{arxiv.2402.01907,
title = {Geometry of Autometrized Lattice Ordered Monoids},
author = {Tekalign Regasa Ashale and Girum Aklilu Abebe and Kolluru Venkateswarlu},
journal= {arXiv preprint arXiv:2402.01907},
year = {2024}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:2402.00361