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Non-distributivity of the lattice of fuzzy ideals of a ring

โœ Scribed by R. Kumar


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
102 KB
Volume
97
Category
Article
ISSN
0165-0114

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โœฆ Synopsis


It is shown that the lattice of all fuzzy ideals of a ring is not distributive.


๐Ÿ“œ SIMILAR VOLUMES


The lattice of fuzzy ideals of a ring
โœ Subrata Majumdar; Quazi Selina Sultana ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 167 KB
On the lattice of fuzzy ideals of a ring
โœ Qingde Zhang; Guangwu Meng ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 80 KB

First, we prove that โˆจ 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

The lattices of fuzzy ideals of a ring
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โœ A.S. Malik; John N. Mordeson ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 238 KB