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Complete Semigroups of Binary Relations

Journal of Mathematical Sciences, 2003
This paper considers the subgroups of the semigroup of binary relations \(B_X\) consisting of binary relations \(R\) whose sections \(S_x=\{y\mid(x,y)\in R\}\) are always members of a complete semilattice \(D\) of subsets of \(X\) under union. These semigroups can also be studied in terms of Boolean matrices and have applications to graph theory ...
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Origins of the calculus of binary relations

[1992] Proceedings of the Seventh Annual IEEE Symposium on Logic in Computer Science, 2003
The genesis of the calculus of binary relations, which was introduced by A. De Morgan (1860) and was subsequently greatly developed by C.S. Peirce (1933) and E. Schroder (1895), is examined. Its further development, from the perspective of modern model theory, in the 1940s and 1950s is described. >
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Intervals of Binary Relations

Mathematical Logic Quarterly, 1979
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Axiomatizability of algebras of binary relations

2007
We present an overview of the axiomatizability problem of algebras of binary relations. The focus will be on the finite and non-finite axiomatizability of several fragments of Tarski’s class of representable relation algebras. We examine the step-by-step method for establishing finite axiomatizability and ultraproduct constructions for establishing non-
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Spectral Universality of Linear Orders with One Binary Relation

Siberian Mathematical Journal, 2020
Andrey N. Frolov, Maxim Zubkov
exaly  

Transformation semigroups preserving a binary relation

Journal of Mathematical Sciences, 2009
I B Kozhukhov
exaly  

The mass-radius relation in binary systems

Astrophysics and Space Science, 1985
Jaime Zamorano
exaly  

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