Weak n-Ary Relational Products in Allegories

Axioms

Bartosz Zieliński¹  Paweł Maślanka² 

[1]Department of Computer Science, Faculty of Physics and Applied Informatics, University of Łodź, Pomorska nr 149/153, 90-236 Łódź, Poland

[2] E-Mail

关键词: allegories;    relations;    relational product;   

DOI  :  10.3390/axioms3040342

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland.