The aim of this paper is to extend the classical Larson-Sweedler theorem, namely that a k-
bialgebra has a non-singular integral (and in particular is Frobenius) if and only if it is a finite …

Let A be a k-algebra over a commutative ring k. By the renowned Tannaka-Kreĭn
reconstruction, liftings of the monoidal structure from M k to MA correspond to bialgebra …

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 …

Fragment and glider representations (introduced by F. Caenepeel, S. Nawal, and F. Van
Oystaeyen) form a generalization of filtered modules over a filtered ring. Given a $\Gamma …

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

The notion of a Hopf algebra appears naturally in several branches of mathematics, such as
homological algebra, Lie groups, topology, functional analysis, quantum theory, Hopf-Galois …