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Weak n-Ary Relational Products in Allegories

Department of Computer Science, Faculty of Physics and Applied Informatics, University of Łodź, Pomorska nr 149/153, 90-236 Łódź, Poland
Author to whom correspondence should be addressed.
Axioms 2014, 3(4), 342-359;
Received: 16 August 2014 / Revised: 15 October 2014 / Accepted: 17 October 2014 / Published: 30 October 2014
PDF [188 KB, uploaded 31 October 2014]


Allegories are enriched categories generalizing a category of sets and binary relations. Accordingly, relational products in an allegory can be viewed as a generalization of Cartesian products. There are several definitions of relational products currently in the literature. Interestingly, definitions for binary products do not generalize easily to n-ary ones. In this paper, we provide a new definition of an n-ary relational product, and we examine its properties. View Full-Text
Keywords: allegories; relations; relational product allegories; relations; relational product

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Zieliński, B.; Maślanka, P. Weak n-Ary Relational Products in Allegories. Axioms 2014, 3, 342-359.

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