A non-zero dimensional atom in the lattice of uniformities
Reiterman, J., Rödl, V.
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Displaying similar documents to “Completeness and continuity of lattice-seminorms”
A non-zero dimensional atom in the lattice of uniformities
Archimedean atomic lattice effect algebras in which all sharp elements are central
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We prove that every Archimedean atomic lattice effect algebra the center of which coincides with the set of all sharp elements is isomorphic to a subdirect product of horizontal sums of finite chains, and conversely. We show that every such effect algebra can be densely embedded into a complete effect algebra (its MacNeille completion) and that there exists an order continuous state on it.
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A categorical view at generalized concept lattices
Stanislav Krajči (2007)
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We continue in the direction of the ideas from the Zhang’s paper [Z] about a relationship between Chu spaces and Formal Concept Analysis. We modify this categorical point of view at a classical concept lattice to a generalized concept lattice (in the sense of Krajči [K1]): We define generalized Chu spaces and show that they together with (a special type of) their morphisms form a category. Moreover we define corresponding modifications of the image / inverse image operator and show their...