SavedAdd your journal

Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2026 / Cilt: 13 Sayı: 3

Morphism Properties of Digital Categories

Simge Öztunç
Pages
619–622
Publication Date
2017-09-30
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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].
📊
Key Findings & Data:Also initial and terminal objects in digital categories are defined by using   adjacency relation.
💡
Conclusion & Impact: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.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Digital Image · Digital Category · monomorphism

Abstract

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.

🔖

Cite This Article

Öztunç, S. (2017). Morphism Properties of Digital Categories. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 Sayı: 3, 619–622. https://doi.org/10.18466/cbayarfbe.339314

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Öztunç S., Mutlu A., Categories in Digital Images, American Journal of Mathematics and Statistics, January 2013;Vol.3, No.1.
  2. Rosenfeld A., ‘Continuous’ functions on digital pic-tures, Pattern Recognition Letters, 1986; Vol. 4, 177–184.
  3. Han, S.E. An Extended Digital 01 (k0,k1 )-Continuity. J. Appl. Math. Comput. 2004, 16, 445-452.
  4. Kong T.Y., Roscoe A.W., and Rosenfeld A., Concepts of digital topology, Topology and its Applications, 1992, 46, 219–262.
  5. Boxer L., Digitally continuous functions, Pattern Recognition Letters, 1994, 15 833–839.
  6. Boxer L., Properties of Digital Homotopy, Journal of Mathematical Imaging and Vision, 2005, 22 19–26.
  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. Awoday S., Category Theory, Oxford Science Publica-tion, 2010.
  9. Blyth T.S., Categories, Longman 1986.
  10. Öztunç S., Some Properties of Soft Categories, Interna-tional Journal of Modeling and Optimization, 2016; 6(2),91-95.