es of the duoidal endohom category are strong for a pseudomonoid whose multiplication and the unit have (left or right) adjoints.
This covers important classes of bialgebroids like weak bialgebras and bialgebroids over a central base.
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In the third situation, there is a further “reversion” structure on a duoidal category.
Examples come again from endohom categories, under the assumption that in addition to the existence of adjoints for the multiplication and the unit, the multiplication of a pseu