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Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups

Year 2015, Volume: 44 Issue: 2, 247 - 254, 01.04.2015

Abstract

In this paper, we introduce ordered (generalized) (m, n)-Γ-ideals in po-Γ-semigroups. Then we characterize the po-Γ-semigroup through ordered (generalized) (0, 2)-Γ-ideals, ordered (generalized) (1, 2)-Γ-ideals
and ordered (generalized) 0-minimal (0, 2)-Γ-ideals. Also, we investigate the notion of ordered (generalized) (0, 2)-bi-Γ-ideals, ordered
0-(0, 2) bisimple po-Γ-semigroups and ordered 0-minimal (generalized) (0, 2)-bi-Γ-ideals in po-Γ-semigroups. It is proved that a po-Γsemigroup S with a zero 0 is 0-(0, 2)-bisimple if and only if it is left
0-simple. 

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Year 2015, Volume: 44 Issue: 2, 247 - 254, 01.04.2015

Abstract

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There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

M. Y. Abbasi

Abul Basar

Publication Date April 1, 2015
Published in Issue Year 2015 Volume: 44 Issue: 2

Cite

APA Abbasi, M. Y., & Basar, A. (2015). Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups. Hacettepe Journal of Mathematics and Statistics, 44(2), 247-254. https://izlik.org/JA66TF52FD
AMA 1.Abbasi MY, Basar A. Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):247-254. https://izlik.org/JA66TF52FD
Chicago Abbasi, M. Y., and Abul Basar. 2015. “Some Properties of Ordered 0-Minimal (0, 2)-Bi-Γ-Ideals in Po-Γ-Semigroups”. Hacettepe Journal of Mathematics and Statistics 44 (2): 247-54. https://izlik.org/JA66TF52FD.
EndNote Abbasi MY, Basar A (April 1, 2015) Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups. Hacettepe Journal of Mathematics and Statistics 44 2 247–254.
IEEE [1]M. Y. Abbasi and A. Basar, “Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, pp. 247–254, Apr. 2015, [Online]. Available: https://izlik.org/JA66TF52FD
ISNAD Abbasi, M. Y. - Basar, Abul. “Some Properties of Ordered 0-Minimal (0, 2)-Bi-Γ-Ideals in Po-Γ-Semigroups”. Hacettepe Journal of Mathematics and Statistics 44/2 (April 1, 2015): 247-254. https://izlik.org/JA66TF52FD.
JAMA 1.Abbasi MY, Basar A. Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups. Hacettepe Journal of Mathematics and Statistics. 2015;44:247–254.
MLA Abbasi, M. Y., and Abul Basar. “Some Properties of Ordered 0-Minimal (0, 2)-Bi-Γ-Ideals in Po-Γ-Semigroups”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, Apr. 2015, pp. 247-54, https://izlik.org/JA66TF52FD.
Vancouver 1.Abbasi MY, Basar A. Some properties of ordered 0-minimal (0, 2)-bi-Γ-ideals in po-Γ-semigroups. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Apr. 1;44(2):247-54. Available from: https://izlik.org/JA66TF52FD