Fuzzy $\alpha$-ideals and $\alpha$-congruences
نویسندگان
1 Department of Mathematics, College of Natural and Computational Sciences, University of Gondar, Ethiopia
doi
10.22075/ijnaa.2021.23032.2463چکیده
In this paper, we introduce $L$-fuzzy $\alpha-$ideals and $L$-fuzzy $\alpha-$congruences on ADL $A$ and we discuss the properties of these. Also, we prove that the homomorphic image and pre-image of an $L$-fuzzy $\alpha-$congruence is also an $L$-fuzzy $\alpha-$congruence on $A$ under certain conditions. Finally, we establish a one-to-one correspondence between $L$-fuzzy $\alpha-$ideals and $L$-fuzzy $\alpha-$congruences on $A$.
