Weak n-Ary Relational Products in Allegories

Weak n-Ary Relational Products in Allegories

Abstract: 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 provid...

Weak Relational Products

The existence of relational products in categories of relations is strongly connected with the representability of that category. In this paper we propose a canonical weakening of the notion of a relational product. Unlike the strong version any (small) category of relations can be embedded into a suitable category providing all weak relational products. Furthermore, we investigate the categori...

On $n$-ary Hypergroups and Fuzzy $n$-ary Homomorphism

Canonical (m,n)−ary hypermodules over Krasner (m,n)−ary hyperrings

The aim of this research work is to define and characterize a new class of n-ary multialgebra that may be called canonical (m, n)&minus hypermodules. These are a generalization of canonical n-ary hypergroups, that is a generalization of hypermodules in the sense of canonical and a subclasses of (m, n)&minusary hypermodules. In addition, three isomorphism theorems of module theory and canonical ...

FUZZY ROUGH N-ARY SUBHYPERGROUPS

Fuzzy rough n-ary subhypergroups are introduced and characterized.