MODULARITY OF AJMAL FOR THE LATTICES OF FUZZY IDEALS OF A RING
نویسندگان
1 DEPARTMENT OF MATHEMATICS, RAMJAS COLLEGE, UNIVERSITY OF DELHI, NEW DELHI , INDIA
doi
10.22111/ijfs.2008.335چکیده
In this paper, we construct two fuzzy sets using the notions of level subsets and strong level subsets of a given fuzzy set in a ring R. These fuzzy sets turn out to be identical and provide a universal construction of a fuzzy ideal generated by a given fuzzy set in a ring. Using this construction and employing the technique of strong level subsets, we provide the shortest and direct fuzzy set theoretic proof of the fact that the lattice $\vartheta$(R) of all fuzzy ideals of a ring R is modular.
