Fantastic filters of lattice implication algebras.
Jun, Young Bae (2000)
International Journal of Mathematics and Mathematical Sciences
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Jun, Young Bae (2000)
International Journal of Mathematics and Mathematical Sciences
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Dumitru Buşneag, Florentina Chirteş (2007)
Open Mathematics
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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).
Biao Long Meng, Xiao Long Xin (2015)
Open Mathematics
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In BL-algebras we introduce the concept of generalized co-annihilators as a generalization of coannihilator and the set of the form x-1F where F is a filter, and study basic properties of generalized co-annihilators. We also introduce the notion of involutory filters relative to a filter F and prove that the set of all involutory filters relative to a filter with respect to the suit operations is a complete Boolean lattice and BL-algebra. We use the technology of generalized co-annihilators...
Cogan, Eva (2009)
International Journal of Mathematics and Mathematical Sciences
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Jun, Young Bae, Lianzhen, Liu (2006)
International Journal of Mathematics and Mathematical Sciences
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Jun, Young Bae (2001)
International Journal of Mathematics and Mathematical Sciences
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Zdeněk Frolík (1972)
Commentationes Mathematicae Universitatis Carolinae
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Francis Borceux, Maria-Cristina Pedicchio (1989)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Rajab Ali Borzooei, Gholam Reza Rezaei, Mona Aaly Kologhani, Young Bae Jun (2021)
Bulletin of the Section of Logic
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The notions of (implicative) soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.