On Prime and Quasi Prime ideals in AG-Groupoids

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Keywords:
AG-groupoid LA-semigroup AG-3-band quasi prime ideal prime ideal

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P. Yiarayong
P. Panpho
R. Tanjaroenrat

Abstract

In this paper, we study ideals, prime and quasi prime ideals in AG-groupoids. Somecharacterizations of prime ideals and quasi prime ideals are obtained. Moreover, weinvestigate relationships between prime and quasi prime ideals in AG-groupoids. Finally, weobtain necessary and sufficient conditions of a prime ideal to be a quasi prime ideal in AGgroupoids.

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How to Cite
Yiarayong, P., Panpho, P., & Tanjaroenrat, R. (2014). On Prime and Quasi Prime ideals in AG-Groupoids. Science & Technology Asia, 19(1), 52–56. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/17077
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Vol.19 No.1 (January-March 2014)
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Articles
Author Biographies

P. Yiarayong

Faculty of Science and Technology, Pibulsongkram Rajabhat University66 Wangjan, Tambon Naimuang Muang District, Phitsanuloke 65000 Thailand

P. Panpho

Faculty of Science and Technology, Pibulsongkram Rajabhat University66 Wangjan, Tambon Naimuang Muang District, Phitsanuloke 65000 Thailand

R. Tanjaroenrat

Faculty of Science and Technology, Muban Chombueng Rajabhat University46/3 Chombueng Subdistrict, Chombeung District, Ratchaburi 70150 Thailand