Green’s relations and quasi-ideals in ordered semigroups
In this paper, we give a new definition of the left(right)-[Formula: see text]-regular, intra-[Formula: see text]-regular, completely-[Formula: see text]-regular, and absorbent ordered semigroup. We also show that an ordered semigroup [Formula: see text] is completely-[Formula: see text]-regular if and only if for each [Formula: see text], either [Formula: see text] or [Formula: see text].
Authors
- Pisan Summaprab
Institutions
- Rajamangala University of Technology Isan (TH)
- Khon Kaen University (TH)
Publication Details
- Journal
- Asian-European Journal of Mathematics
- Published
- 2025-10-31
- DOI
- https://doi.org/10.1142/s1793557125501323
- Primary Topic
- Fuzzy and Soft Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00