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Fuzzy congruences on groups and rings

DOI: 10.1155/s0161171294000682

Keywords: lattice , groups , rings , fuzzy congruences , fuzzy normal subgroup , fuzzy ideals , isomorphism.

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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).


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