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

M. Y. Abbasi; Abul Basar

EN

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

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

....

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

M. Y. Abbasi

Abul Basar ^*

Publication Date

April 1, 2015

Submission Date

November 21, 2013

Acceptance Date

February 10, 2014

Published in Issue

Year 2015 Volume: 44 Number: 2

IZ

https://izlik.org/JA66TF52FD

Cite

RIS / Bibtex

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.M. Y. Abbasi, Abul Basar. 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