T. Gu'ed'enon

activity

20022018

collaborators

4 papers

math.RA2018

On the cohomology of comodules over smash coproducts

S. Caenepeel, T. Guédénon

We consider the category of comodules over a smash coproduct coalgebra $C\smashco H$. We show that there is a Grothendieck spectral sequence connecting the derived functors of the…

math.RA2005

On the cohomology of relative Hopf modules

S. Caenepeel, T. Guédénon

Let $H$ be a Hopf algebra over a field $k$ , and $A$ an $H$ -comodule algebra. The categories of comodules and relative Hopf modules are then Grothendieck categories with enough inje…

math.RA2005

Fully bounded noetherian rings and Frobenius extensions

S. Caenepeel, T. Guédénon

Let $i : A \to R$ be a ring morphism, and $χ : R \to A$ a right $R$ -linear map with $χ (χ (r) s) = χ (r s)$ and $χ (1_{R}) = 1_{A}$ . If $R$ is a Frobenius $A$ -ring, then we can define a trace map $\…

math.QA2002

Semisimplicity of the categories of Yetter-Drinfeld modules and Long dimodules

S. Caenepeel, T. Guédénon

Let $k$ be a field, and $H$ a Hopf algebra with bijective antipode. If $H$ is commutative, noetherian, semisimple and cosemisimple, then the category $_{H} YD^{H}$ of Y…