On $BF$-semigroups and Fuzzy $BF$-semigroups

Volume 20, Issue 4, pp 325--333 http://dx.doi.org/10.22436/jmcs.020.04.06

Publication Date: March 05, 2020 Submission Date: July 16, 2019 Revision Date: February 06, 2020 Accteptance Date: February 10, 2020

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Authors

Mae Manahon - Mathematics Department, Negros Oriental State University, Dumaguete City, Philippines. Jenette Bantug - Mathematics Department, Silliman University, Dumaguete City, Philippines. Joemar Endam - Department of Mathematics, Negros Oriental State University, Dumaguete City, Philippines.

Abstract

We introduce and establish the notion of $BF$-semigroups. We construct quotient $BF$-semigroups via $BF$-ideals and we investigate homomorphisms of $BF$-semigroups and establish the isomorphism theorems for $BF$-semigroups. Moreover, we apply the concept of fuzzy sets to $BF$-semigroups.

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ISRP Style

Mae Manahon, Jenette Bantug, Joemar Endam, On $BF$-semigroups and Fuzzy $BF$-semigroups, Journal of Mathematics and Computer Science, 20 (2020), no. 4, 325--333

AMA Style

Manahon Mae, Bantug Jenette, Endam Joemar, On $BF$-semigroups and Fuzzy $BF$-semigroups. J Math Comput SCI-JM. (2020); 20(4):325--333

Chicago/Turabian Style

Manahon, Mae, Bantug, Jenette, Endam, Joemar. "On $BF$-semigroups and Fuzzy $BF$-semigroups." Journal of Mathematics and Computer Science, 20, no. 4 (2020): 325--333

Keywords

$BF/BF_1/BF_2$-semigroup
sub $BF$-semigroup
$BF$-ideal
quotient $BF$-semigroup
fuzzy sub $BF$-semigroup

MSC

06F35
08A05
03G25
94D05

References

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On \(BF\)-semigroups and Fuzzy \(BF\)-semigroups