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Displaying 401 – 420 of 966

Modularité et distributivité affaibliés dans les lattis

René Fourneau (1982)

Commentationes Mathematicae Universitatis Carolinae

Modularity and distributivity of the lattice of $Σ$ -closed subsets of an algebraic structure

Ivan Chajda, Petr Emanovský (1995)

Mathematica Bohemica

Let $𝒜 = (A, F, R)$ be an algebraic structure of type $τ$ and $Σ$ a set of open formulas of the first order language $L (τ)$ . The set $C_{Σ} (𝒜)$ of all subsets of $A$ closed under $Σ$ forms the so called lattice of $Σ$ -closed subsets of $𝒜$ . We prove various sufficient conditions under which the lattice $C_{Σ} (𝒜)$ is modular or distributive.

Modularity and distributivity of tolerance lattices of commutative inverse semigroups

Bedřich Pondělíček (1985)

Czechoslovak Mathematical Journal

Monotonic mappings on ordered sets, a class of inequalities with finite differences and fixed points.

M.R. Taskovic (1974)

Publications de l'Institut Mathématique [Elektronische Ressource]

Multiplicative structures over sup-lattices

Maria Cristina Pedicchio, Walter Tholen (1989)

Archivum Mathematicum

Multipliers on a nearlattice

Abu Saleh Abdun Noor, William H. Cornish (1986)

Commentationes Mathematicae Universitatis Carolinae

Natural continuity space structures on dual Heyting algebras

Marcel Erné, Ralph Kopperman (1990)

Fundamenta Mathematicae

Natural dualities for varieties of distributive lattices with a quantifier

H. Priestley (1993)

Banach Center Publications

Natural extension of a congruence of a lattice to its lattice of convex sublattices

S. Parameshwara Bhatta, H. S. Ramananda (2011)

Archivum Mathematicum

Let $L$ be a lattice. In this paper, corresponding to a given congruence relation $Θ$ of $L$ , a congruence relation $Ψ_{Θ}$ on $C S (L)$ is defined and it is proved that 1. $C S (L / Θ)$ is isomorphic to $C S (L) / Ψ_{Θ}$ ; 2. $L / Θ$ and $C S (L) / Ψ_{Θ}$ are in the same equational class; 3. if $Θ$ is representable in $L$ , then so is $Ψ_{Θ}$ in $C S (L)$ .