Semigroup structures via IVI-octahedron sets.

Autor: Baek, J. I., Muhiuddin, G., Han, S. H., Hur, K.
Zdroj: Discrete Mathematics, Algorithms & Applications; Jan2024, Vol. 16 Issue 1, p1-29, 29p
Abstrakt: In this paper, we use IVI-octahedron ideals and IVI-octahedron bi-ideals to discuss some characterizations of special semigroups, e.g., an intra-regular semigroup, a semigroup which is semilattice of left [respectively, right] simple semigroups or simple left groups and a semigroup which is a semilattice of groups and a [respectively, left and right] simple semigroups. Finally, we define an IVIO-simple [IVIOL-simple and IVI) R-simple] semigroup and study some of its properties and we give a characterization of a semisimple semigroup by IVIOIs. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index