2 citations · 2 across the 3 of their papers we have counts for
6 papers
Skew category, Galois covering and smash product of a -category
Claude Cibils, Eduardo N. Marcos
In this paper we consider categories over a commutative ring provided either with a free action or with a grading of a not necessarily finite group. We define the smash product cat…
Cartan-Leray spectral sequence for Galois coverings of linear categories
Claude Cibils, Maria Julia Redondo
We provide a Cartan-Leray type spectral sequence for the Hochschild-Mitchell (co)homology of a Galois covering of linear categories. We infer results relating the Galois group and…
The first cohomology group of the trivial extension of a monomial algebra
Claude Cibils, Maria Julia Redondo, Manuel Saorin
Given a finite--dimensional monomial algebra we consider the trivial extension and provide formulae, depending on the characteristic of the field, for the dimensions of th…
Cohomology of split algebras and of trivial extensions
Claude Cibils, Eduardo Marcos, Maria Julia Redondo +1
We consider associative algebras L over a field provided with a direct sum decomposition of a two-sided ideal M and a sub-algebra A - examples are provided by trivial extensions or…
Hopf quivers
Claude Cibils, Marc Rosso
We classify graded Hopf algebras structures over path coalgebras, that is over free pointed coalgebras, using Hopf quivers which are analogous to Cayley graphs. The description inv…
The projective class ring of half-quantum groups at roots of unity
Claude Cibils
We describe the structure of the Grothendieck ring of projective modules of basic Hopf algebras using a positive integer determined by the composition series of the principal indec…