IJPAM: Volume 115, No. 2 (2017)

Title

SOME PROPERTIES OF COVERED $\Gamma$-IDEALS
IN PO-$\Gamma$-SEMIGROUPS

Authors

Abul Basar$^1$, M.Y. Abbasi$^2$, Sabahat Ali Khan$^3$
$^{1,2,3}$Department of Mathematics
Jamia Millia Islamia
New Delhi, 110 025, INDIA

Abstract

The concept of covered ideal in semigroups has been introduced by I. Fabrici[1]. In this paper, we introduce covered $\Gamma$-ideal in po-$\Gamma$-semigroups. We study some results based on covered $\Gamma$-ideals in po-$\Gamma$-semigroup.

History

Received: January 28, 2017
Revised: May 8, 2017
Published: July 14, 2017

AMS Classification, Key Words

AMS Subject Classification: 06F05, 20M12, 16D25
Key Words and Phrases: po-$\Gamma$-semigroup, covered ideal

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Bibliography

1
I. Fabrici, Semigroups containing covered two-sided ideals, Mate. Slovaca, 34 (1984), 355-363.

2
M.Y. Abbasi, Abul Basar, A note on ordered quasi-$\Gamma$-ideals in intra-regular po-$\Gamma$-semigroups, Int. J. Pure. Appl. Math., 98, No. 2 (2015), 221-230.

3
M.Y. Abbasi, Abul Basar, Weakly prime ideals in involution po-$\Gamma$-semigroups, Kyungpook Math. J., 54 (2014), 629-638.

4
Y.I. Kwon, S.K. Lee, Some special elements in ordered $\Gamma$-semigroups, Kyungpook Math. J., 35 (1996), 679-685.

How to Cite?

DOI: 10.12732/ijpam.v115i2.11 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 2
Pages: 345 - 352


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