Displaying similar documents to “The hyperbola x y = N ”

The Banach lattice C[0,1] is super d-rigid

Y. A. Abramovich, A. K. Kitover (2003)

Studia Mathematica

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The following properties of C[0,1] are proved here. Let T: C[0,1] → Y be a disjointness preserving bijection onto an arbitrary vector lattice Y. Then the inverse operator T - 1 is also disjointness preserving, the operator T is regular, and the vector lattice Y is order isomorphic to C[0,1]. In particular if Y is a normed lattice, then T is also automatically norm continuous. A major step needed for proving these properties is provided by Theorem 3.1 asserting that T satisfies some technical...

On the special context of independent sets

Vladimír Slezák (2001)

Discussiones Mathematicae - General Algebra and Applications

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In this paper the context of independent sets J L p is assigned to the complete lattice (P(M),⊆) of all subsets of a non-empty set M. Some properties of this context, especially the irreducibility and the span, are investigated.

A visual approach to test lattices

Gábor Czédli (2009)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Let p be a k -ary lattice term. A k -pointed lattice L = ( L ; ∨ , ∧ , d 1 , ... , d k ) will be called a p -lattice (or a test lattice if p is not specified), if ( L ; ∨ , ∧ ) is generated by { d 1 , ... , d k } and, in addition, for any k -ary lattice term q satisfying p ( d 1 , ... , d k ) ≤ q ( d 1 , ... , d k ) in L , the lattice identity p ≤ q holds in all lattices. In an elementary visual way, we construct a finite p -lattice L ( p ) for each p . If p is a canonical lattice term, then L ( p ) coincides with the optimal p -lattice of Freese, Ježek and Nation [Freese,...

A T-partial order obtained from T-norms

Funda Karaçal, M. Nesibe Kesicioğlu (2011)

Kybernetika

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A partial order on a bounded lattice L is called t-order if it is defined by means of the t-norm on L . It is obtained that for a t-norm on a bounded lattice L the relation a ⪯ T b iff a = T ( x , b ) for some x ∈ L is a partial order. The goal of the paper is to determine some conditions such that the new partial order induces a bounded lattice on the subset of all idempotent elements of L and a complete lattice on the subset A of all elements of L which are the supremum of a subset of atoms.