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19942026
most citedBrownian distance covariance

857 citations

Showing 2018 · math.LOShow all

12 papers · 2 filters

math.LO2018★ 1 cited

Stone type representation theorems via games

Tuğba Aslan, Mohamed Khaled

The classes of relativized relation algebras (whose units are not necessarily transitive as binary relations) are known to be finitely axiomatizable. In this article, we give a new…

math.LO2018★ 2 cited

Varieties generated by completions

H. Andréka, I. Németi

We prove that persistently finite algebras are not created by completions of algebras, in any ordered discriminator variety. A persistently finite algebra is one without infinite s…

math.LO2018★ 6 cited

Nonrepresentable relation algebras from group systems

H. Andréka, S. Givant, I. Németi

A series of nonrepresentable relation algebras is constructed from groups. We use them to prove that there are continuum many subvarieties between the variety of representable rela…

math.LO2018★ 1 cited

The structure of random automorphisms of the rational numbers

Udayan B. Darji, Márton Elekes, Kende Kalina +2

In order to understand the structure of the "typical" element of an automorphism group, one has to study how large the conjugacy classes of the group are. For the case when typical…

math.LO2018★ 9 cited

A representation theorem for measurable relation algebras

S. Givant, H. Andréka

A relation algebra is called measurable when its identity is the sum of measurable atoms, and an atom is called measurable if its square is the sum of functional elements. In this…

math.LO2018★ 29 cited

Distances between formal theories

Michèle Friend, Mohamed Khaled, Koen Lefever +1

In the literature, there have been several methods and definitions for working out if two theories are "equivalent" (essentially the same) or not. In this article, we do something…

math.LO2018★ 1 cited

A representation theorem for measurable relation algebras with cyclic groups

Hajnal Andréka, Steven Givant

A relation algebra is measurable if the identity element is a sum of atoms, and the square x;1;x of each subidentity atom x is a sum of non-zero functional elements. These function…

math.LO2018★ 5 cited

The variety of coset relation algebras

Steven Givant, Hajnal Andréka

A coset relation algebra is one embeddable into some full coset relation algebra, the latter is an algebra constructed from a system of groups, a coordinated system of isomorphisms…

math.LO2018★ 10 cited

Coset relation algebras

H. Andréka, S. Givant

A measurable relation algebra is a relation algebra in which the identity element is a sum of atoms that can be measured in the sense that the "size" of each such atom can be defin…

math.LO2018

Relation algebras and groups

Steven Givant

Generalizing results of Jónsson and Tarski, Maddux introduced the notion of a pair-dense relation algebra and proved that every pair-dense relation algebra is representable. The no…

math.LO2018

Term algebras of elementarily equivalent atom structures

H. Andréka, I. Németi

We exhibit two relation algebra atom structures such that they are elementarily equivalent but their term algebras are not. This answers Problem 14.19 in the book Hirsch, R. and Ho…

math.LO2018★ 9 cited

On Generalization of Definitional Equivalence to Languages with Non-Disjoint Signatures

Koen Lefever, Gergely Székely

For simplicity, most of the literature introduces the concept of definitional equivalence only to languages with disjoint signatures. In a recent paper, Barrett and Halvorson intro…