Displaying similar documents to “Intensionally complemented distributive lattices”

The Role of Halaš Identity in Orthomodular Lattices

Ivan Chajda (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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We prove that a certain identity introduced by R. Halaš for classifying basic algebras can be used for characterizing orthomodular lattices in the class of ortholattices with antitone involutions on every principal filter.

Coaxial filters of distributive lattices

M. Sambasiva Rao (2023)

Archivum Mathematicum

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Coaxial filters and strongly coaxial filters are introduced in distributive lattices and some characterization theorems of p m -lattices are given in terms of co-annihilators. Some properties of coaxial filters of distributive lattices are studied. The concept of normal prime filters is introduced and certain properties of coaxial filters are investigated. Some equivalent conditions are derived for the class of all strongly coaxial filters to become a sublattice of the filter lattice. ...

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).