3 papers
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…
math.LO2024
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…