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Displaying 641 – 660 of 966

Quasicontinuous spaces

Jing Lu, Bin Zhao, Kaiyun Wang, Dong Sheng Zhao (2022)

Commentationes Mathematicae Universitatis Carolinae

We lift the notion of quasicontinuous posets to the topology context, called quasicontinuous spaces, and further study such spaces. The main results are: (1) A $T_{0}$ space $(X, τ)$ is a quasicontinuous space if and only if $S I (X)$ is locally hypercompact if and only if $(τ_{S I}, \subseteq)$ is a hypercontinuous lattice; (2) a $T_{0}$ space $X$ is an $S I$ -continuous space if and only if $X$ is a meet continuous and quasicontinuous space; (3) if a $C$ -space $X$ is a well-filtered poset under its specialization order, then $X$ is a quasicontinuous space...

Quasi-minimal posets and lattices.

J.L. Hickman (1977)

Journal für die reine und angewandte Mathematik

Quasiorder on Systems of Directed Sets

Ján Jakubík (1974)

Matematický časopis

Quasi-orders of algebras

Jiří Rachůnek (1979)

Časopis pro pěstování matematiky

Quotient structures in lattice effect algebras

Amir Hossein Sharafi, Rajb Ali Borzooei (2019)

Kybernetika

In this paper, we define some types of filters in lattice effect algebras, investigate some relations between them and introduce some new examples of lattice effect algebras. Then by using the strong filter, we find a CI-lattice congruence on lattice effect algebras, such that the induced quotient structure of it is a lattice effect algebra, too. Finally, under some suitable conditions, we get a quotient MV-effect algebra and a quotient orthomodular lattice, by this congruence relation.

Radical d'un treilli residue.

Josep Pla i Carrera, Carles Rafels i Pallarola (1986)

Stochastica

We presents some relations between the (maximal) spectre of a residuated lattice and the residuated lattices of its regular elements. We note the characterization found for the radical of a residuated lattice via the radical of the residuated lattices of the ragular elements. Finally, this last result is applied in the study of the simplicity and semi-simplicity of a residuated lattice.

Radical subgroups of lattice ordered groups

Ján Jakubík (1986)

Czechoslovak Mathematical Journal

Random posets, lattices, and lattices terms

Jaroslav Ježek, Václav Slavík (2000)

Mathematica Bohemica

Algorithms for generating random posets, random lattices and random lattice terms are given.

Realcompactification and repleteness of Wallman spaces.

Camacho, James jun. (1993)

International Journal of Mathematics and Mathematical Sciences

Recent developments in the theory of skew lattices.

J. Leech (1996)

Semigroup forum

Règle majoritaire et distributivité dans le permutoèdre

C. Chameni-Nembua (1989)

Mathématiques et Sciences Humaines

Regular and normal quantales

Jan Paseka (1986)

Archivum Mathematicum

Regular elements in complete uniquely complemented lattices

V. Salii (1982)

Banach Center Publications

Regular lattices

Ivan Chajda (1993)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Regularity in p-algebras and p-semilattices

J. Varlet (1982)

Banach Center Publications

Regularity of residuated mappings.

M.F. Janowitz (1991)

Semigroup forum

Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices

Sergio A. Celani (2015)

Open Mathematics

In this paper we shall study a notion of relative annihilator-preserving congruence relation and relative annihilator-preserving homomorphism in the class of bounded distributive semilattices. We shall give a topological characterization of this class of semilattice homomorphisms. We shall prove that the semilattice congruences that are associated with filters are exactly the relative annihilator-preserving congruence relations.

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