65 citations · 239 across the 22 of their papers we have counts for
10 papers · 1 filter
Multiplier Hopf monoids
Gabriella B"ohm, Stephen Lack
The notion of multiplier Hopf monoid in any braided monoidal category is introduced as a multiplier bimonoid whose constituent fusion morphisms are isomorphisms. In the category of…
Multiplier bialgebras in braided monoidal categories
Gabriella Böhm, Stephen Lack
Multiplier bimonoids (or bialgebras) in arbitrary braided monoidal categories are defined. They are shown to possess monoidal categories of comodules and modules. These facts are e…
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…
On Hopf monoids in duoidal categories
Gabriella Böhm, Yuanyuan Chen, Liangyun Zhang
Aguiar and Mahajan's bimonoids A in a duoidal category M are studied. Under certain assumptions on M, the Fundamental Theorem of Hopf Modules is shown to hold for A if and only if…
On the double crossed product of weak Hopf algebras
Gabriella Böhm, José Gómez-Torrecillas
Given a weak distributive law between algebras underlying two weak bialgebras, we present sufficient conditions under which the corresponding weak wreath product algebra becomes a…
Weak bialgebras and monoidal categories
G. Böhm, S. Caenepeel, K. Janssen
We study monoidal structures on the category of (co)modules over a weak bialgebra. Results due to Nill and Szlachányi are unified and extended to infinite algebras. We discuss the…
A Schneider type theorem for Hopf algebroids
Alessandro Ardizzoni, Gabriella Böhm, Claudia Menini
Comodule algebras of a Hopf algebroid H with a bijective antipode, i.e. algebra extensions B\subseteq A by H, are studied. Assuming that a lifted canonical map is a split epimorphi…
Pre-torsors and equivalences
Gabriella Böhm, Tomasz Brzezinski
Properties of (most general) non-commutative torsors or A-B torsors are analysed. Starting with pre-torsors it is shown that they are equivalent to a certain class of Galois extens…