Frobenius monads and pseudomonoids

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Frobenius algebras and ambidextrous adjunctions (2005, background): “Adjunctions as well as monads generalize to this (1)Note that our definition of Frobenius pseudomonoid nearly coincides with the notion given by Street [36]; the slight difference is that certain isomorphisms in our definition are made explicit.”
A 2-Categories Companion (2007, methodology): “ories were given in [45, 44], or in the equivalent language of pseudomonoids in [11]; for the universal pseudomonad, and the Gray-limit approach to pseudoalgebras, see [32]. For further work see also [8, 56, 40]. 68 STEPHEN LACK 10. Nerves In this section we use ∆ for the “topologists’ delta”, the c”
Bimonads and Hopf monads on categories (2007, background): “Note that the pattern of our definition of bimonads resembles the definition of Frobenius monads on any category by Street in [27].”