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On the lattice of n-filters of an LM n -algebra |
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| Authors: | Dumitru Buşneag Florentina Chirteş |
| Affiliation: | (1) Faculty of Mathematics and Computer Science, University of Craiova, Department of Mathematics, 13, Al. I. Cuza street, 200 585 Craiova, Romania |
| Abstract: | For an n-valued Łukasiewicz-Moisil algebra L (or LM n -algebra for short) we denote by F n (L) the lattice of all n-filters of L. The goal of this paper is to study the lattice F n (L) and to give new characterizations for the meet-irreducible and completely meet-irreducible elements on F n (L). |
| Keywords: | LMn-algebra n-filter prime n-filter meet-irreducible n-filter completely meet-irreducible n-filter |
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