Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390382 | Fuzzy Sets and Systems | 2012 | 9 Pages |
Abstract
In this paper, we extend the notion of a tip-extended pair of fuzzy subgroups to L-ideals of a ring. We prove that the sum of two tip-extended L-ideals of an arbitrary pair of L-ideals of a ring is the least L-ideal containing the union of the given L-ideals. Using this construction of join of L-ideals, we prove that the lattice of all L-ideals of a given ring is modular.
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