Radicals and complete distributivity in relatively normal lattices

Jiří Rachůnek

Displaying similar documents to “Radicals and complete distributivity in relatively normal lattices”

$𝒵$ -distributive function lattices

Marcel Erné (2013)

Mathematica Bohemica

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It is known that for a nonempty topological space $X$ and a nonsingleton complete lattice $Y$ endowed with the Scott topology, the partially ordered set $[X, Y]$ of all continuous functions from $X$ into $Y$ is a continuous lattice if and only if both $Y$ and the open set lattice $𝒪 X$ are continuous lattices. This result extends to certain classes of $𝒵$ -distributive lattices, where $𝒵$ is a subset system replacing the system $𝒟$ of all directed subsets (for which the $𝒟$ -distributive complete lattices are just...

Values and minimal spectrum of an algebraic lattice

George Georgescu, Miroslav Ploščica (2002)

Mathematica Slovaca

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On Raney's theorems for completely distributive complete lattices

Gabriele H. Greco (1988)

Colloquium Mathematicae

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Varieties of Distributive Rotational Lattices

Gábor Czédli, Ildikó V. Nagy (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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A rotational lattice is a structure $〈 L; \lor, \land, g 〉$ where $L = 〈 L; \lor, \land 〉$ is a lattice and $g$ is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using Jónsson’s lemma, this leads to a description of all varieties of distributive rotational lattices.

Displaying similar documents to “Radicals and complete distributivity in relatively normal lattices”

𝒵 -distributive function lattices

Values and minimal spectrum of an algebraic lattice

On Raney's theorems for completely distributive complete lattices

Varieties of Distributive Rotational Lattices

$𝒵$ -distributive function lattices