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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 3, Pages 469-473
doi:10.1155/S0161171294000682

Fuzzy congruences on groups and rings

Marouf A. Samhan and T.M.G. Ahsanullah

Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

We prove that the lattice of fuzzy congruences of a group G (resp. ring R) is isomorphic to the lattice of fuzzy normal subgroups of G (resp. fuzzy ideals of R).