Title of article
ON FROBENIUS ALGEBRAS IN RIGID MONOIDAL CATEGORIES
Author/Authors
Fuchs, Jurgen Karlstads Universitet - Teoretisk fysik, Sweden , Stigner, Carl Karlstads Universitet - Teoretisk fysik, Sweden
From page
175
To page
191
Abstract
We show that the equivalence between several possible characterizations of Frobenius algebras, and of symmetric Frobenius algebras, carries over from the category of vector spaces to more general monoidal categories. For Frobenius algebras, the appropriate setting is the one of rigid monoidal categories, and for symmetric Frobenius algebras it is the one of sovereign monoidal categories. We also discuss some properties of Nakayama automorphisms.
Keywords
monoidal categories , Frobenius algebras , symmetric algebras , Nakayama automorphism
Journal title
The Arabian Journal for Science and Engineering
Journal title
The Arabian Journal for Science and Engineering
Record number
2578200
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