The lattice of fuzzy (left, right) ideals of a ring is modular
We use the technique of nested set to study the structure of the lattice of all fuzzy (left, right) ideals of a given ring. We give a way to depict the supremum of fuzzy (left, right) ideals by nested set and prove that the lattice of all fuzzy (left, right) ideals of a given ring is modular. (C) 2002 Elsevier Science B.V. All rights reserved.
lattice modularity supremum fuzzy ideal