New York Journal of Mathematics
Volume 14 (2008) 733-742


Brian Day and Craig Pastro

Note on Frobenius monoidal functors

Published: December 18, 2008
Keywords: Monoidal category, duals, monoidal functor, comonoidal functor, Frobenius monoidal functor, Frobenius algebra
Subject: 18A22, 18D10, 18D25

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.

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