The Concept of Multiset Category
Ahmed I. Isah *
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria.
Y. Tella
Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper category of multisets (Mul) is presented and various operations of category of sets such as points, products, sums, etc., were introduced in Mul and related results were proved. It is further shown that the product of two objects is unique as is the case for the sum, and the terminal object helps in separating arbitrary arrows. Thus, similar to category of sets if two arrows agree on points, they are the same arrows.
Keywords: Set, multiset, category, bimorphism, isomorphism, product, sum