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Coalgebras on Digital Images

Sunyoung Lee, Dae-Woong Lee
2020 Mathematics  
In this article, we investigate the fundamental properties of coalgebras with coalgebra comultiplications, counits, and coalgebra homomorphisms of coalgebras over a commutative ring R with identity 1R based on digital images with adjacency relations. We also investigate a contravariant functor from the category of digital images and digital continuous functions to the category of coalgebras and coalgebra homomorphisms based on digital images via the category of unitary R-modules and R-module
more » ... les and R-module homomorphisms.
doi:10.3390/math8112082 fatcat:k7u5qgpxlfbzdglmlurmuixvju