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Complete Semigroups of Binary Relations
Journal of Mathematical Sciences, 2003This 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, 2003The 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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Axiomatizability of algebras of binary relations
2007We 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, 2020Andrey N. Frolov, Maxim Zubkov
exaly
Transformation semigroups preserving a binary relation
Journal of Mathematical Sciences, 2009I B Kozhukhov
exaly

