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 | Abstract: | 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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