3 papers
math.LO2025
Autometrized Lattice Ordered Monoids
Tekalign Regasa Ashale, Girum Aklilu Abebe, Kolluru Venkateswarlu
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-m…
math.LO2024
Geometry of Autometrized Lattice Ordered Monoids
Tekalign Regasa Ashale, Girum Aklilu Abebe, Kolluru Venkateswarlu
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-linea…
math.LO2024
Metric ideals and its Structures Autometrized Lattice Ordered Monoids
Tekalign Regasa Ashale, Girum Aklilu Abebe, Kolluru Venkateswarlu
This paper introduces the concept of metric ideals in AL-monoids. We also examine the structure of AL-monoids and describe some of the properties of homomorphism and fundamentaliso…