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. Monoidal category, duals, monoidal functor, comonoidal functor, Frobenius monoidal functor, Frobenius algebra.
|Number of pages||10|
|Journal||New York Journal of Mathematics|
|Publication status||Published - 2008|