The hyperbola $xy = N$

Javier Cilleruelo; Jorge Jiménez-Urroz

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...

Algebraic lattices are complete sublattices of the clone lattice over an infinite set

Michael Pinsker (2007)

Fundamenta Mathematicae

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The clone lattice Cl(X) over an infinite set X is a complete algebraic lattice with $2^{| X |}$ compact elements. We show that every algebraic lattice with at most $2^{| X |}$ compact elements is a complete sublattice of Cl(X).

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.

Every lattice is embeddable in the lattice of $T_{1}$ -topologies

Richard Valent (1973)

Colloquium Mathematicae

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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 $L = (L; \lor, \land$ , $d_{1}, ..., d_{k})$ will be called a $p$ -lattice (or a test lattice if $p$ is not specified), if $(L; \lor, \land)$ is generated by ${d_{1}, ..., d_{k}}$ and, in addition, for any $k$ -ary lattice term $q$ satisfying $p (d_{1}, ..., d_{k})$ $\leq$ $q (d_{1}$ , $..., d_{k})$ in $L$ , the lattice identity $p \leq q$ 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,...

On the lattice structure of $T_{1}$ topologies

T. G. Raghavan, I. L. Reilly (1986)

Matematički Vesnik

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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 $x \in L$ 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.

On extensions of orthosymmetric lattice bimorphisms

Mohamed Ali Toumi (2013)

Mathematica Bohemica

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In the paper we prove that every orthosymmetric lattice bilinear map on the cartesian product of a vector lattice with itself can be extended to an orthosymmetric lattice bilinear map on the cartesian product of the Dedekind completion with itself. The main tool used in our proof is the technique associated with extension to a vector subspace generated by adjoining one element. As an application, we prove that if $(A, *)$ is a commutative $d$ -algebra and $A^{𝔡}$ its Dedekind completion, then, $A^{𝔡}$ can...

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

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