On semiprime and quasi semiprime ideals in AG-groupoids
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Published:
Apr 13, 2017
Keywords:
AG-groupoid AG-3-band quasi semiprime ideal semiprime ideal right alternative
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Abstract
In this paper, we study ideals, semiprime and quasi semiprime ideals in AG-groupoids. Some characterizations of semiprime ideals and quasi semiprime ideals are obtained. Moreover, we investigate relationships between semiprime and quasi semiprime ideals in AG-groupoids. Finally, we obtain necessary and sufficient conditions of a semiprime ideals to be a quasi semiprime ideals in AG-groupoids.
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How to Cite
Yiarayong, P. (2017). On semiprime and quasi semiprime ideals in AG-groupoids. Asia-Pacific Journal of Science and Technology, 18(6), 893–896. Retrieved from https://so01.tci-thaijo.org/index.php/APST/article/view/83018
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Research Articles
References
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(2) Kazim M.A. and Naseeruddin M., On almost semigroups, The Alig. Bull. Math, 1972; 2: 1-7.
(3) Khan M. and Naveed Ahmad., Characterizations of left almost semigroups by their ideals. Journal of Advanced Research in Pure Mathematics, 2010; 2(3): 61-73.
(4) Mushtaq Q., Abelian groups defined by LA-semigroups, Studia Scient. Math. Hungar, 1983; 18: 427-428.
(5) Mushtaq Q. and Iqbal Q., Decomposition of a locally associative LA-semigroup, Semigroup Forum, 1990; 41: 154-164.
(6) Mushtaq Q. and Iqbal M., On representation theorem for inverse LA-semigroups, Proc. Pakistan Acad. Sci, 1993;30: 247-253.
(7) Mushtaq Q. and Khan M., A note on an Abel-Grassmann’s 3-band, Quasigroups and Related Systems, 2007; 15: 295-301.
(8) Mushtaq Q. and Khan M., Ideals in left almost semigroup, arXiv:0904.1635v1 [math.GR], 2009.
(9) Shah M., Ahmad I. and Ali A., Discovery of New Classes of AG-groupoids, Research Journal of Recent Sciences, 2012; 1(11): 47-49.