The lattices of fuzzy ideals of a ring
โ Scribed by Naseem Ajmal; K.V. Thomas
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 347 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
First, we prove that โจ ร = + ร in the lattice of all fuzzy (left, right) ideals with the same tip "t" using the technique of strong cut. By this we obtain the following results: (1) We point out that the lattice of all fuzzy ideals of a ring is not distributive, thus the main theorem (L F1(R) is dis
It is shown that the lattice of all fuzzy ideals of a ring is not distributive.
General theory of algebraic fuzzy systems developed earlier by the authors is applied to extend the Stone's prime ideal theorem to fuzzy ideals of distributive lattices. A correspondence between fuzzy ideals and fuzzy congruences in a distributive lattice is obtained and certain important properties