TY - JOUR
ID - 335
TI - MODULARITY OF AJMAL FOR THE LATTICES OF FUZZY IDEALS
OF A RING
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - JAHAN, IFFAT
AD - DEPARTMENT OF MATHEMATICS, RAMJAS COLLEGE, UNIVERSITY OF
DELHI, NEW DELHI , INDIA
Y1 - 2008
PY - 2008
VL - 5
IS - 2
SP - 71
EP - 78
KW - Algebra
KW - Lattice
KW - Modularity
KW - Ideal of a ring
KW - Morphism
DO - 10.22111/ijfs.2008.335
N2 - 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 latticeĀ $\vartheta$(R) of all fuzzy ideals of a ring R is modular.
UR - https://ijfs.usb.ac.ir/article_335.html
L1 - https://ijfs.usb.ac.ir/article_335_d77ea108880da9b02b705e6c27df1d4f.pdf
ER -