168 citations · 267 across the 20 of their papers we have counts for
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Maschke type theorems for Hopf monoids
Gabriella Böhm
We study integrals of Hopf monoids in duoidal endohom categories of naturally Frobenius map monoidales in monoidal bicategories. We prove two Maschke type theorems, relating the se…
The formal theory of multimonoidal monads
Gabriella Böhm
Certain aspects of Street's formal theory of monads in 2-categories are extended to multimonoidal monads in symmetric strict monoidal 2-categories. Namely, any symmetric strict mon…
Crossed modules of monoids III. Simplicial monoids of Moore length 1
Gabriella Böhm
This is the last part of a series of three strongly related papers in which three equivalent structures are studied: - internal categories in categories of monoids; defined in term…
Crossed modules of monoids II. Relative crossed modules
Gabriella Böhm
This is the second part of a series of three strongly related papers in which three equivalent structures are studied: - internal categories in categories of monoids; defined in te…
Factorization systems induced by weak distributive laws
Gabriella Böhm
We relate weak distributive laws in SetMat to strictly associative (but not strictly unital) pseudoalgebras of the 2-monad (-)^2 on Cat. The corresponding orthogonal factorization…
Weak bimonads and weak Hopf monads
Gabriella Böhm, Stephen Lack, Ross Street
We define a weak bimonad as a monad T on a monoidal category M with the property that the Eilenberg-Moore category M^T is monoidal and the forgetful functor from M^T to M is separa…