Document Type
Article
Publication Date
2010
Abstract
We extend Barr’s well-known characterization of the final coalgebra of a Set-endofunctor as the completion of its initial algebra to the Eilenberg-Moore category of algebras for a Set-monad M for functors arising as liftings. As an application we introduce the notion of commuting pair of endofunctors with respect to the monad M and show that under reasonable assumptions, the final coalgebra of one of the endofunctors involved can be obtained as the free algebra generated by the initial algebra of the other endofunctor.
Recommended Citation
A. Balan and A. Kurz, “On Coalgebras over Algebras,” Electronic Notes in Theoretical Computer Science, vol. 264, no. 2, pp. 47–62, Aug. 2010. DOI: 10.1016/j.entcs.2010.07.013
Copyright
Elsevier
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Included in
Algebra Commons, Logic and Foundations Commons, Other Computer Engineering Commons, Other Computer Sciences Commons, Other Mathematics Commons
Comments
This article was originally published in Electronic Notes in Theoretical Computer Science, volume 264, issue 2, in 2010. DOI: 10.1016/j.entcs.2010.07.013