On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups

Rasie Mekera; Didem Yeşil; Didem Karalarlıoğlu Camcı

doi:10.28979/jarnas.1919891

On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups

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.

Keywords

Supporting Institution

Çanakkale Onsekiz Mart University

Project Number

FYL-2020-3270

Ethical Statement

No approval from the Board of Ethics is required.

Thanks

This study was supported by the Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University, Project number: FYL-2020-3270.

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory

Journal Section

Research Article

Authors

Rasie Mekera ^*
0000-0002-0092-2991
Türkiye

Didem Yeşil
0000-0003-0666-9410
Türkiye

Didem Karalarlıoğlu Camcı
0000-0002-8413-3753
Türkiye

Publication Date

June 30, 2026

Submission Date

March 31, 2026

Acceptance Date

June 1, 2026

Published in Issue

Year 2026 Volume: 12 Number: 2

DOI

https://doi.org/10.28979/jarnas.1919891

IZ

https://izlik.org/JA45TA49MC

Cite

RIS / Bibtex

APA

Mekera, R., Yeşil, D., & Karalarlıoğlu Camcı, D. (2026). On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups. Journal of Advanced Research in Natural and Applied Sciences, 12(2), 157-170. https://doi.org/10.28979/jarnas.1919891

AMA

1.Mekera R, Yeşil D, Karalarlıoğlu Camcı D. On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups. JARNAS. 2026;12(2):157-170. doi:10.28979/jarnas.1919891

Chicago

Mekera, Rasie, Didem Yeşil, and Didem Karalarlıoğlu Camcı. 2026. “On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups”. Journal of Advanced Research in Natural and Applied Sciences 12 (2): 157-70. https://doi.org/10.28979/jarnas.1919891.

EndNote

Mekera R, Yeşil D, Karalarlıoğlu Camcı D (June 1, 2026) On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups. Journal of Advanced Research in Natural and Applied Sciences 12 2 157–170.

IEEE

[1]R. Mekera, D. Yeşil, and D. Karalarlıoğlu Camcı, “On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups”, JARNAS, vol. 12, no. 2, pp. 157–170, June 2026, doi: 10.28979/jarnas.1919891.

ISNAD

Mekera, Rasie - Yeşil, Didem - Karalarlıoğlu Camcı, Didem. “On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups”. Journal of Advanced Research in Natural and Applied Sciences 12/2 (June 1, 2026): 157-170. https://doi.org/10.28979/jarnas.1919891.

JAMA

1.Mekera R, Yeşil D, Karalarlıoğlu Camcı D. On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups. JARNAS. 2026;12:157–170.

MLA

Mekera, Rasie, et al. “On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups”. Journal of Advanced Research in Natural and Applied Sciences, vol. 12, no. 2, June 2026, pp. 157-70, doi:10.28979/jarnas.1919891.

Vancouver

1.Rasie Mekera, Didem Yeşil, Didem Karalarlıoğlu Camcı. On Ordered-Primeness and Ordered-Semiprimeness in Ordered Semigroups. JARNAS. 2026 Jun. 1;12(2):157-70. doi:10.28979/jarnas.1919891

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