65 citations · 239 across the 22 of their papers we have counts for
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Weak bimonoids in duoidal categories
Yuanyuan Chen, Gabriella Böhm
Weak bimonoids in duoidal categories are introduced. They provide a common generalization of bimonoids in duoidal categories and of weak bimonoids in braided monoidal categories. U…
Weak multiplier bialgebras
Gabriella Böhm, José Gómez-Torrecillas, Esperanza López-Centella
A non-unital generalization of weak bialgebra is proposed with a multiplier-valued comultiplication. Certain canonical subalgebras of the multiplier algebra (named the `base algebr…
On the category of weak bialgebras
Gabriella Böhm, José Gómez-Torrecillas, Esperanza López-Centella
Weak (Hopf) bialgebras are described as (Hopf) bimonoids in appropriate duoidal (also known as 2-monoidal) categories. This interpretation is used to define a category wba of weak…
Firm Frobenius monads and firm Frobenius algebras
Gabriella Böhm, José Gómez-Torrecillas
Firm Frobenius algebras are firm algebras and counital coalgebras such that the comultiplication is a bimodule map. They are investigated by categorical methods based on a study of…