Araştırma Makalesi

Morphism Properties of Digital Categories

Cilt: 13 Sayı: 3 30 Eylül 2017
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Morphism Properties of Digital Categories

Öz

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.

Anahtar Kelimeler

Kaynakça

  1. 1. Öztunç S., Mutlu A., Categories in Digital Images, American Journal of Mathematics and Statistics, January 2013;Vol.3, No.1.
  2. 2. Rosenfeld A., ‘Continuous’ functions on digital pic-tures, Pattern Recognition Letters, 1986; Vol. 4, 177–184.
  3. 3. Han, S.E. An Extended Digital 01 (k0,k1 )-Continuity. J. Appl. Math. Comput. 2004, 16, 445-452.
  4. 4. Kong T.Y., Roscoe A.W., and Rosenfeld A., Concepts of digital topology, Topology and its Applications, 1992, 46, 219–262.
  5. 5. Boxer L., Digitally continuous functions, Pattern Recognition Letters, 1994, 15 833–839.
  6. 6. Boxer L., Properties of Digital Homotopy, Journal of Mathematical Imaging and Vision, 2005, 22 19–26.
  7. 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.
  8. 8. Awoday S., Category Theory, Oxford Science Publica-tion, 2010.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Eylül 2017

Gönderilme Tarihi

21 Eylül 2017

Kabul Tarihi

15 Mayıs 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 13 Sayı: 3

Kaynak Göster

APA
Öztunç, S. (2017). Morphism Properties of Digital Categories. Celal Bayar University Journal of Science, 13(3), 619-622. https://doi.org/10.18466/cbayarfbe.339314
AMA
1.Öztunç S. Morphism Properties of Digital Categories. Celal Bayar University Journal of Science. 2017;13(3):619-622. doi:10.18466/cbayarfbe.339314
Chicago
Öztunç, Simge. 2017. “Morphism Properties of Digital Categories”. Celal Bayar University Journal of Science 13 (3): 619-22. https://doi.org/10.18466/cbayarfbe.339314.
EndNote
Öztunç S (01 Eylül 2017) Morphism Properties of Digital Categories. Celal Bayar University Journal of Science 13 3 619–622.
IEEE
[1]S. Öztunç, “Morphism Properties of Digital Categories”, Celal Bayar University Journal of Science, c. 13, sy 3, ss. 619–622, Eyl. 2017, doi: 10.18466/cbayarfbe.339314.
ISNAD
Öztunç, Simge. “Morphism Properties of Digital Categories”. Celal Bayar University Journal of Science 13/3 (01 Eylül 2017): 619-622. https://doi.org/10.18466/cbayarfbe.339314.
JAMA
1.Öztunç S. Morphism Properties of Digital Categories. Celal Bayar University Journal of Science. 2017;13:619–622.
MLA
Öztunç, Simge. “Morphism Properties of Digital Categories”. Celal Bayar University Journal of Science, c. 13, sy 3, Eylül 2017, ss. 619-22, doi:10.18466/cbayarfbe.339314.
Vancouver
1.Simge Öztunç. Morphism Properties of Digital Categories. Celal Bayar University Journal of Science. 01 Eylül 2017;13(3):619-22. doi:10.18466/cbayarfbe.339314