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