منابع مشابه
Join spaces , soft join spaces and lattices
The aim of this paper is to initiate and investigate new (soft) hyperstructures, particularly (soft) join spaces, using important classes of lattices: modular and distributive. They are used in order to study (soft) hyperstructures constructed on the set of all convex sublattices of a lattice.
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In this paper, we show that the parallel connection of two matroids and the elementary quotient of a matroid can be obtained directly from the lattice of flats of the original matroids using join congruence relations.
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We give two sufficient conditions for the lattice Co(Rn, X) of relatively convex sets of Rn to be join-semidistributive, where X is a finite union of segments. We also prove that every finite lower bounded lattice can be embedded into Co(Rn, X), for a suitable finite subset X of Rn.
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The concepts of finite join and finite meet in a lattice are introduced. Some properties of the finite join are proved. After introducing the concept of dual lattice in view of dualism we obtain analogous properties of the meet. We prove these properties of binary operations in a lattice, which are usually included in axioms of the lattice theory. We also introduce the concept of Heyting lattic...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1976
ISSN: 0002-9939
DOI: 10.2307/2041188