65 citations · 239 across the 22 of their papers we have counts for
5 papers · 1 filter
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…
Bilinear factorization of algebras
Gabriella Böhm, José Gómez-Torrecillas
We study the (so-called bilinear) factorization problem answered by a weak wreath product (of monads and, more specifically, of algebras over a commutative ring) in the works by St…
Pre-torsors and Galois comodules over mixed distributive laws
Gabriella Böhm, Claudia Menini
We study comodule functors for comonads arising from mixed distributive laws. Their Galois property is reformulated in terms of a (so-called) regular arrow in Street's bicategory o…
Monads and comonads in module categories
Gabriella Böhm, Tomasz Brzezinski, Robert Wisbauer
Let be a ring and $\M_A$ the category of -modules. It is well known in module theory that for any -bimodule , is an -ring if and only if the functor $-\otimes_…
Morita theory of comodules over corings
Gabriella Böhm, Joost Vercruysse
By a theorem due to Kato and Ohtake, any (not necessarily strict) Morita context induces an equivalence between appropriate subcategories of the module categories of the two rings…