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In this paper, we introduce the concept of $(m,n)$-ideals in a non-associative ordered structure, which is called an ordered Abel-Grassmann's groupoid, by generalizing the concept of $(m,n)$-{ideals in an ordered semigroup [14]. We also study the} $(m,n)$-regular class of an ordered $\mathcal{AG}$-groupoid in terms of $(m,n)$-ideals.
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참고문헌 (19)
참고문헌 신청
F. Yousafzai / 2013 / Left regular AG-groupoids in terms of fuzzy interior ideals / Afrika Mathematika 24 : 577 ~ 587
F. Yousafzai / 2014 / On fully regular AG-groupoids / Afrika Mathematika 25 : 449 ~ 459
F. Yousafzai / 2014 / On fuzzy fully regular ordered AG-groupoids / Journal of Intelligent & Fuzzy Systems 26 : 2973 ~ 2982
J. Sanborisoot / 2012 / On Characterizations of (m; n)-regular or-dered semigroups / Far East J. Math. Sci 65 : 75 ~ 86
M. A. Kazim / 1972 / On almost semigroups / The Alig. Bull. Math 2 : 1 ~ 7
F. Yousafzai / 2014 / On fully regular AG-groupoids / Afrika Mathematika 25 : 449 ~ 459
F. Yousafzai / 2014 / On fuzzy fully regular ordered AG-groupoids / Journal of Intelligent & Fuzzy Systems 26 : 2973 ~ 2982
J. Sanborisoot / 2012 / On Characterizations of (m; n)-regular or-dered semigroups / Far East J. Math. Sci 65 : 75 ~ 86
M. A. Kazim / 1972 / On almost semigroups / The Alig. Bull. Math 2 : 1 ~ 7
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