منابع مشابه
An equivalence functor between local vector lattices and vector lattices
We call a local vector lattice any vector lattice with a distinguished positive strong unit and having exactly one maximal ideal (its radical). We provide a short study of local vector lattices. In this regards, some characterizations of local vector lattices are given. For instance, we prove that a vector lattice with a distinguished strong unit is local if and only if it is clean with non no-...
متن کاملConcept Lattices Constrained by Equivalence Relations
Formal concept analysis is a method of exploratory data analysis that aims at the extraction of natural clusters from objectattribute data tables. The clusters, called formal concepts, are naturally interpreted as human-perceived concepts in a traditional sense and can be partially ordered by a subconcept-superconcept hierarchy. The hierarchical structure of formal concepts (so-called concept l...
متن کاملInterpolation on lattices generated by cubic pencils
Principal lattices are distributions of points in the plane obtained from a triangle by drawing equidistant parallel lines to the sides and taking the intersection points as nodes. Interpolation on principal lattices leads to particularly simple formulae. These sets were generalized by Lee and Phillips considering three-pencil lattices, generated by three linear pencils. Inspired by the additio...
متن کاملOn Lattices Generated by Finite Abelian Groups
This paper is devoted to the study of lattices generated by finite Abelian groups. Special species of such lattices arise in the exploration of elliptic curves over finite fields. In the case where the generating group is cyclic, they are also known as the Barnes lattices. It is shown that for every finite Abelian group with the exception of the cyclic group of order four these lattices have a ...
متن کاملSubset-Generated Complete Sublattices as Concept Lattices
We present a solution to the problem of finding the complete sublattice of a given concept lattice generated by given set of elements. We construct the closed subrelation of the incidence relation of the corresponding formal context whose concept lattice is equal to the desired complete sublattice. The construction does not require the presence of the original concept lattice. We introduce an e...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1999
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8003