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Brian Day and Craig Pastro
Note on Frobenius monoidal functors
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| Published: |
December 18, 2008 |
| Keywords: |
Monoidal category, duals, monoidal functor, comonoidal functor, Frobenius monoidal functor, Frobenius algebra |
| Subject: |
18A22, 18D10, 18D25 |
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Abstract
It is well known that strong monoidal functors preserve duals. In this short
note we show that a weaker version of functor, which we call "Frobenius
monoidal'', is sufficient. Further properties of Frobenius monoidal functors
are developed.
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| Author information
Brian Day:
Department of Mathematics, Macquarie University, New South Wales 2109 Australia
Craig Pastro:
Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 Japan
craig@kurims.kyoto-u.ac.jp
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