Simplicial Relative Cohomology Rings of Digital Images

Authors

Ismet Karaca, Department of Mathematics, Ege University, 35100 Izmir, TurkeyFollow
Gulseli Burak

Author Country (or Countries)

Turkey

Abstract

The first goal of this paper is to show that the relative cohomology groups of digital images are determined algebraically by the relative homology groups of digital images. Then we state simplicial cup product for digital images and use it to establish ring structure of digital cohomology. Furthermore we give a method for computing the cohomology ring of digital images and give some examples concerning cohomology ring.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080533

Recommended Citation

Karaca, Ismet and Burak, Gulseli (2014) "Simplicial Relative Cohomology Rings of Digital Images," Applied Mathematics & Information Sciences: Vol. 08: Iss. 5, Article 33.
DOI: http://dx.doi.org/10.12785/amis/080533
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss5/33