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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2019 Volume 106, Issue 6, Pages 821–836 (Mi mzm12020)

This article is cited in 3 papers

On Classes of Generalized Subreducts of Tarski's Relation Algebras with One Diophantine Binary Operation

D. A. Bredikhin

Saratov State Technical University

Abstract: In the paper, systems of elementary axioms are found for classes of groupoids and ordered groupoids of binary relations with Diophantine operations that are generalized subreducts of the Tarski relation algebras.

Keywords: relation algebra, Diophantine operation, identity, quasi-identity, variety, quasivariety, groupoid.

UDC: 501.1

Received: 05.04.2018
Revised: 18.03.2019

DOI: 10.4213/mzm12020


 English version:
Mathematical Notes, 2019, 106:6, 872–884

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© Steklov Math. Inst. of RAS, 2024