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On the lattice of n-filters of an LM n -algebra

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Central European Journal of Mathematics

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).

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Craiova, Department of Mathematics, 13, Al. I. Cuza street, 200 585, Craiova, Romania

    Dumitru Buşneag & Florentina Chirteş

Authors
  1. Dumitru Buşneag
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  2. Florentina Chirteş
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Buşneag, D., Chirteş, F. On the lattice of n-filters of an LM n -algebra. centr.eur.j.math. 5, 470–483 (2007). https://doi.org/10.2478/s11533-007-0012-6

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  • DOI: https://doi.org/10.2478/s11533-007-0012-6

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