On ordered -Semigroups Containing Two-sided Bases
Abstract
The aim of this paper is to study the concept of ordered -semigroups containing two-sided bases that are studied analogously to the concept of -semigroups containing two-sided bases considered by T. Changpas and P. Kummoon in 2018. Moreover, we prove any ordered -semigroups containing two-sided bases have the same cadinality. Keywords : ordered -semigroup ; Two-sided bases ; -IdealReferences
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Chinnadurai, V., & Arulmozhi, K. (2018). Characterization of bipolar fuzzy ideal in ordered gamma semigroup.
Journal of the International Mathematical Virtual Institute, 8, 141-156.
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Kostaq Hila & Edmond Pisha. (2006). Charecterizations on ordered -semigroups. International Journal
of Pure and Applied Mathematics, 28(3), 423-439.
Niovi Kehayopulu. (2011). On regular duo po- -semigroup. Mathematical Institute Slovak Academy of
Sciences, 61(6), 871-884.
Kwon Y.I. and Lee S.K. (1998). On weakly prime ideals of ordered -semigroup. Comm. Korean Math. Soc.,
13(2), 251-256.
Niovi Kehayopulu. (2017). On intra-regular ordered -semigroup. European Journal of Pure and Applied
Mathematics, 10(4), 620-630.
Sen, M. K. (1981). On -semigroup. Lecture Notes in Pure and Appl. Math., 91, 301-308.
Subrahmanyeswara Rao Seetamraju, V.B., A. Anjaneyulu, A., & Madhusudana Rao, D. (2012). Po- -ideals in
Po- -semigroup. IOSR Journal of Mathematics, 1(6), 39-51.
Thawhat Chang phas & Pisit Kummoon. (2018). On -Semigroup Containing Two-sided bases. KKU Sci.
J., 46(1), 154-161.
Thawhat Changphas & Pisit Kummoon. (2018). On left and right bases of a -semigroup. International
Journal of Pure and Applied Mathematics, 118(1), 125-135.
semigroups. International Journal of Pure and Applied Mathematics, 115(2), 345-352.
Chinnadurai, V., & Arulmozhi, K. (2018). Characterization of bipolar fuzzy ideal in ordered gamma semigroup.
Journal of the International Mathematical Virtual Institute, 8, 141-156.
Fabrici, I. (1975). Two sided bases of semigroups. Matematicky casopis, 25(2), 173-178.
Iampan, A. (2009). Characterizing Ordered Bi-Ideal in Ordered -Semigroups. International Journal of
Mathematical Sciences and Informatics, 4(1), 17-25.
Kostaq Hila & Edmond Pisha. (2006). Charecterizations on ordered -semigroups. International Journal
of Pure and Applied Mathematics, 28(3), 423-439.
Niovi Kehayopulu. (2011). On regular duo po- -semigroup. Mathematical Institute Slovak Academy of
Sciences, 61(6), 871-884.
Kwon Y.I. and Lee S.K. (1998). On weakly prime ideals of ordered -semigroup. Comm. Korean Math. Soc.,
13(2), 251-256.
Niovi Kehayopulu. (2017). On intra-regular ordered -semigroup. European Journal of Pure and Applied
Mathematics, 10(4), 620-630.
Sen, M. K. (1981). On -semigroup. Lecture Notes in Pure and Appl. Math., 91, 301-308.
Subrahmanyeswara Rao Seetamraju, V.B., A. Anjaneyulu, A., & Madhusudana Rao, D. (2012). Po- -ideals in
Po- -semigroup. IOSR Journal of Mathematics, 1(6), 39-51.
Thawhat Chang phas & Pisit Kummoon. (2018). On -Semigroup Containing Two-sided bases. KKU Sci.
J., 46(1), 154-161.
Thawhat Changphas & Pisit Kummoon. (2018). On left and right bases of a -semigroup. International
Journal of Pure and Applied Mathematics, 118(1), 125-135.
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Published
2021-09-06
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Research Article
