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2013•Basic Sciences Journal of Textile UniversitiesRequires access

An introduction to completely distributive lattices

Wei Yao

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Abstract

An introduction to completely distributive lattices is presented via the aspects of their algebraic structures,order structure and the relations with Domain theory.The contents could be used by beginners in related fields.The contents related to completely distributive lattices from several monographs on lattice theory,Domain theory and fuzzy to pology theory are summarized.Completely distributive lattices can be equivalently characterized by means of distributivity,minimal sets(maximal sets),wedge below relation,the set of molecules with its Scott topology.A completely distributive is a mathematical structure combining algebraic structure,order structure and topology structure together.

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An introduction to completely distributive lattices is presented via the aspects of their algebraic structures,order structure and the relations with Domain theory.The contents could be used by beginners in related fields.The contents related to completely distributive lattices from several monographs on lattice theory,Domain theory and fuzzy to pology theory are summarized.Completely distributive lattices can be equivalently characterized by means of distributivity,minimal sets(maximal sets),wedge below relation,the set of molecules with its Scott topology.A completely distributive is a mathematical structure combining algebraic structure,order structure and topology structure together.

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Available abstract

An introduction to completely distributive lattices is presented via the aspects of their algebraic structures,order structure and the relations with Domain theory.The contents could be used by beginners in related fields.The contents related to completely distributive lattices from several monographs on lattice theory,Domain theory and fuzzy to pology theory are summarized.Completely distributive lattices can be equivalently characterized by means of distributivity,minimal sets(maximal sets),wedge below relation,the set of molecules with its Scott topology.A completely distributive is a mathematical structure combining algebraic structure,order structure and topology structure together.

Key concepts: Distributivity, Distributive property, Domain theory, Distributive lattice, Algebraic structure, Wedge (geometry), Mathematics, Complete lattice

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