Article Sidebar
Published:
Jun 17, 2025Keywords:
Autometrized algebra; Boolean metric space; DRl-semigroups; B-linearity; Dlinearity; AL-monoid; contraction mapping
Article Details
How to Cite
Regasa Ashale, T., Aklilu Abebe, G., & Venkateswarlu, K. (2025). Geometry of Autometrized Lattice Ordered Monoids. SINET: Ethiopian Journal of Science, 48(1), 1–8. https://doi.org/10.4314/sinet.v48i1.1
Issue
Section
Research articles
Copyright for articles published in this journal is retained by the journal.
Main Article Content
Geometry of Autometrized Lattice Ordered Monoids
Abstract
In this paper, we explore geometric properties in Autometrized lattice ordered
monoids. It is proved that there do not exist equilateral triangles in Autometrized lattice ordered
monoids, and it is also proved that any AL-monoid is ptolemaic. Additionally, AL-monoids subsume
all the geometric outcomes of DRl-semigroup and additionally satisfy the equivalency of lattice
betweeness and metric betweeness properties.
