De Morgan's and strong De Morgan's laws in a topos of shaves
Francis Borceux, Maria Cristina Pedicchio (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “On primeness and maximality of filters”
De Morgan's and strong De Morgan's laws in a topos of shaves
Generalized co-annihilator of BL-algebras
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...
The boolean prime ideal theorem holds iff maximal open filters exist
Y. T. Rhineghost (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Prime filters with CIP
Zdeněk Frolík (1972)
Commentationes Mathematicae Universitatis Carolinae
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On the lattice of n-filters of an LM n-algebra
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).