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Operations on binary relations and their applications

Name: Operations on binary relations and their applications
Creator: Tamura, T.
Keywords: existence of smallest relation, Operations and polynomials in algebraic structures, primal algebras, join conservative confition, types of relations, Sets with a single binary operation (groupoids), semi-closure operations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1964 English Publisher:American Mathematical Society (AMS)Journal:Bulletin of the American Mathematical Society, volume 70, pages 113-120 (issn: 0273-0979, eissn: 1088-9485,

Authors: Tamura, T.;

doi: 10.1090/s0002-9904-1964-11042-9

Operations on binary relations and their applications

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Abstract

This paper is a rapid report from the author and the results are given without proofs. The author defines types of relations by means of semi-closure operations and discusses the existence of the smallest relation of a given type. By providing semi-closure operations with the condition ``join conservative'', a method of construction of the smallest relation of a given type has been stated. For the full version see Zbl 0221.04001.

Keywords

existence of smallest relation, Operations and polynomials in algebraic structures, primal algebras, join conservative confition, types of relations, Sets with a single binary operation (groupoids), semi-closure operations

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