Authors: Došen, Kosta 
Petrić, Zoran 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Ordinals in Frobenius monads
Journal: Journal of Pure and Applied Algebra
Volume: 217
Issue: 4
First page: 763
Last page: 778
Issue Date: 1-Apr-2013
Rank: M22
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2012.09.012
This paper provides geometrical descriptions of the Frobenius monad freely generated by a single object. These descriptions are related to results connecting Frobenius algebras and topological quantum field theories. In these descriptions, which are based on coherence results for self-adjunctions (adjunctions where an endofunctor is adjoint to itself), ordinals in ε 0 play a prominent role. The paper ends by considering how the notion of Frobenius algebra induces the collapse of the hierarchy of ordinals in ε 0, and by raising the question of the exact categorial abstraction of the notion of Frobenius algebra.
Publisher: Elsevier
Project: Representations of logical structures and formal languages and their application in computing 

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