On the prime fuzzy $m$-bi ideals in semigroups

Volume 21, Issue 4, pp 357--365 http://dx.doi.org/10.22436/jmcs.021.04.08

Publication Date: May 22, 2020 Submission Date: February 27, 2020 Revision Date: March 31, 2020 Accteptance Date: April 20, 2020

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Authors

Mohammad Munir - Government Postgraduate College, Abbottabad, Pakistan. Nasreen Kausar - Department of Mathematics, University of Agriculture, Faisalabad, Pakistan. Salahuddin - Department of Mathematics, Jazan University, Jazan, Kingdom of Saudi Arabia. Tehreem - Department of Mathematics, Air University (AU), Islamabad, Pakistan.

Abstract

In this article, we build up the ideas of the fuzzy strongly prime, prime and semiprime $m$-bi ideals in a semigroup. We additionally investigate the conditions that when the fuzzy $m$-bi ideals are irreducible and strongly irreducible. We have demonstrated that a semigroup is $m$-regular and $m$-intraregular if and only if its very fuzzy $m$-bi ideal is a semiprime, likewise a subset of a semigroup is its $m$-bi ideal if and only if the characteristic function on this subset is a fuzzy $m$-bi ideal.

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ISRP Style

Mohammad Munir, Nasreen Kausar, Salahuddin, Tehreem, On the prime fuzzy $m$-bi ideals in semigroups, Journal of Mathematics and Computer Science, 21 (2020), no. 4, 357--365

AMA Style

Munir Mohammad, Kausar Nasreen, Salahuddin, Tehreem, On the prime fuzzy $m$-bi ideals in semigroups. J Math Comput SCI-JM. (2020); 21(4):357--365

Chicago/Turabian Style

Munir, Mohammad, Kausar, Nasreen, , Salahuddin, , Tehreem. "On the prime fuzzy $m$-bi ideals in semigroups." Journal of Mathematics and Computer Science, 21, no. 4 (2020): 357--365

Keywords

Fuzzy $m$-bi ideals
strongly prime $m$-bi ideals
semiprime $m$-bi ideals
bipotency

MSC

20M35
20M99

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On the prime fuzzy \(m\)-bi ideals in semigroups