Author:
Fitz-Gerald D.G.,Preston G.B.
Abstract
In his paper in Mat. Sb. (N.S.) 61 (103) (1963), Zareckiĭ associated with any binary relation α an ordered pair, (Lα Mα), say, of lattices and showed that α is a left [right] divisor of β if and only if We provide an alternative proof of this result by embedding the category of relations in the category of sets. Our approach provides a unified treatment of several hitherto independent results, and gives new results for the category of partial transformations.
Publisher
Cambridge University Press (CUP)
Reference4 articles.
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3. EMBEDDING INVERSE SEMIGROUPS IN BISIMPLE INVERSE SEMIGROUPS
4. The semigroup of binary relations;Zareckiĭ;Mat. Sb. (N.S.),1963
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