TY  - JOUR
TT  - Morphism Properties of Digital Categories
AU  - Öztunç, Simge
PY  - 2017
DA  - September
DO  - 10.18466/cbayarfbe.339314
JF  - Celal Bayar University Journal of Science
JO  - CBUJOS
PB  - Manisa Celal Bayar Üniversitesi
WT  - DergiPark
SN  - 1305-130X
SP  - 619
EP  - 622
VL  - 13
IS  - 3
KW  - Digital Image
KW  - Digital Category
KW  - monomorphism
KW  - epimorphism
KW  - isomorphism
N2  - In this paper we defined the                                category and researchedthe properties of monomorphism, epimorphism and isomorphism for digitalcategories which are related with the categorical structure in [1]. Alsoinitial and terminal objects in digital categories are defined by using   adjacency relation.Hence we determined the initial and terminal objects of digital categorieswhich have digital image with   adjacency asobjects.   In addition to this we provedthat the objects of the same type in a digital category are isomorphic.
CR  - 1.	Öztunç S., Mutlu A., Categories in Digital Images, American Journal of Mathematics and Statistics, January 2013;Vol.3, No.1.
CR  - 2.	Rosenfeld A., ‘Continuous’ functions on digital pic-tures, Pattern Recognition Letters, 1986; Vol. 4, 177–184.
CR  - 3.	Han, S.E. An Extended Digital 01 (k0,k1 )-Continuity. J. Appl. Math. Comput. 2004, 16, 445-452.
CR  - 4.	Kong T.Y., Roscoe A.W., and Rosenfeld A., Concepts of digital topology, Topology and its Applications, 1992, 46, 219–262.
CR  - 5.	Boxer L., Digitally continuous functions, Pattern Recognition Letters, 1994, 15 833–839.
CR  - 6.	Boxer L., Properties of Digital Homotopy, Journal of Mathematical Imaging and Vision, 2005, 22 19–26.
CR  - 7.	Karaca I.,  Boxer L. and Öztel A., Topological Invari-ants in Digital Images, Jour. of Mathematical Sciences: Advances and Applications, 2011, 2, 109-140.
CR  - 8.	Awoday S., Category Theory, Oxford Science Publica-tion, 2010.
CR  - 9.	Blyth T.S., Categories, Longman 1986.
CR  - 10.	Öztunç S., Some Properties of Soft Categories, Interna-tional Journal of Modeling and Optimization, 2016; 6(2),91-95.
UR  - https://doi.org/10.18466/cbayarfbe.339314
L1  - https://dergipark.org.tr/tr/download/article-file/345767
ER  -