Work

On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups

Year: 2026

Type: article

Abstract: In this paper, we investigate the structure of the source of ordered-semiprimeness and the source of ordered-primeness within the class of ordered semigroups. We focus on extending the sources of semiprimeness and primeness and results that have previously been established in more restrictive settings. By working in this broader framework, we establish generalizations of these results and show that many of the underlying structural properties are preserved under suitable conditions. Our approach not only unifies existing results but also provides a deeper understanding of the behavior of these properties in a more general context.

Source: Journal of Advanced Research in Natural and Applied Sciences

DOI: 10.28979/jarnas.1919891

Authors: Rasie Mekera, Didem Yeşil, Didem Karalarlıoğlu Camcı

Institution: Çanakkale Onsekiz Mart Üniversitesi

Language: English

Topic: semigroups and automata theory

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: Çanakkale Onsekiz Mart Üniversitesi

Award: G7490559772