Morphism Properties of Digital Categories

Abstract

In this paper we defined the Img category and researched the properties of monomorphism, epimorphism ? and isomorphism for digital categories which are related with the categorical structure in [1]. Also initial and terminal objects in digital categories are defined by using ?- adjacency relation. Hence we determined the initial and terminal objects of digital categories which have digital image with ?- adjacency as objects. In addition to this we proved that the objects of the same type in a digital category are isomorphic.