Morphism Properties of Digital Categories | Zendy

Simge Öztunç | Zendy

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Morphism Properties of Digital Categories

Author(s) -

Simge Öztunç

Publication year - 2017

Publication title -

celal bayar üniversitesi fen bilimleri dergisi

Language(s) - English

Resource type - Journals

eISSN - 1305-1385

pISSN - 1305-130X

DOI - 10.18466/cbayarfbe.339314

Subject(s) - monomorphism , mathematics , morphism , epimorphism , adjacency list , isomorphism (crystallography) , categorical variable , relation (database) , pure mathematics , combinatorics , computer science , data mining , crystallography , chemistry , injective function , crystal structure , statistics

In this paper we defined the 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.

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