We show that the universal measuring coalgebras between Frobenius algebras turn the
category of Frobenius algebras into a Hopf category (in the sense of Batista-Caenepeel …

We introduce and study a large class of coalgebras (possibly (non) coassociative) with
group-algebraic structures Hopf (non) coassociative group-algebras. Hopf (non) …

We find a natural compatible condition between the Rota-Baxter operator and Turaev's
(Hopf) group-(co) algebras, which leads to the concept of Rota-Baxter Turaev's (Hopf) group …

We show that under mild conditions on the monoidal base category V, the category V-Hopf
of Hopf V-categories is locally presentable and deduce the existence of free and cofree Hopf …

We introduce the notion of an oplax Hopf monoid in any braided monoidal bicategory,
generalizing that of a Hopf monoid in a braided monoidal category in an appropriate way …

We introduce and study a large class of algebras (possibly nonassociative) with group-
coalgebraic structures, Hopf nonassociative group-coalgebras, which provide a unifying …

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 …

We study when left (op) Hopf algebroids in the sense of Takeuchi-Schauenburg give rise to
a Frobenius or quasi-Frobenius extension. The case of Hopf algebroids in the sense of …

We introduce the notion of an oplax Hopf monoid in any braided monoidal bicategory,
generalizing that of a Hopf monoid in a braided monoidal category in an appropriate way …

Código e nome da disciplina: MATE 7094 - Tópicos em Matemática 1 Turma (subtítulo):
Bicategorias Professor: Marcelo Muniz Si Page 1 PLANEJAMENTO DA DISCIPLINA Ano …