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

M. Y. Abbasi; Abul Basar

Research Article

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.

Keywords

po-Γ-semigroup, ordered bi-Γ-ideal, ordered(m;n)-Γ-ideal, ordered(0;2)-Γ-idea

References

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

M. Y. Abbasi , Abul Basar

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
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.
AMA	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. April 2015;44(2):247-254.
Chicago	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 44, no. 2 (April 2015): 247-54.
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	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, 2015.
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 2015), 247-254.
JAMA	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, 2015, pp. 247-54.
Vancouver	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):247-54.