In this paper, the concepts of irreducible and strongly pseudo symmetric ideals in a partially ordered ternary semigroup are introduced. We also studied some interesting properties prove that space is topologized.

Abstract We study permutability properties of matrix semigroups over commutative bipotent semirings (of which the best-known example is tropical semiring ). prove that every such semigroup weakly permutable (a result previous stated in literature, but with an erroneous proof) and then proceed to depth question when they are strongly (which turns out depend heavily on semiring). Along way we cla...

Consider a simple graph G with vertex set V(G) and edge E(G). A invariant for is number related to the structure of G, which under symmetry G. The Sombor index new defined as SO(G)=∑uv∈E(G)(du)2+(dv)2. In this work, we connected theory abstract algebra. We computed topological over tensor Cartesian products monogenic semigroup by presenting two different algorithms; obtained results are illustr...

The notion of absorption was developed a few years ago by Barto and Kozik and immediately found many applications, particularly in topics related to the constraint satisfaction problem. We investigate the behavior of absorption in semigroups and n-ary semigroups (that is, algebras with one n-ary associative operation). In the case of semigroups, we give a simple necessary and sufficient conditi...

Objectives/Background: The ternary seminear ring is the generalization of and it need not be a semiring. Characterization quotient rings some structures have been analysed also studied ideals in rings. Further quasi defined discussed about their properties. Methods: Properties semiring employed to carry out this research work obtain all characterizations corresponding that Findings: We call an ...