7 citations · 17 across the 18 of their papers we have counts for
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Hopfological algebra for infinite dimensional Hopf algebras
Marco A. Farinati
We consider "Hopfological" techniques as in \cite{Ko} but for infinite dimensional Hopf algebras, under the assumption of being co-Frobenius. In particular, $H=k[{\mathbb Z}]\#k[x]…
A Cacti theoretical interpretation of the axioms of bialgebras and H-module algebras
Marco Farinati, Leandro Lombardi
We establish a dictionary between the Cacti algebra axioms on a Cacti algebra structure with underlying free associative algebra, under suitable good behavior with degrees. Using t…
The cohomology of monogenic extensions in the noncommutative setting
Marco Farinati, Jorge A. Guccione, Juan J. Guccione
We extend the notion of monogenic extension to the noncommutative setting, and we study the Hochschild cohomology ring of such an extension. As an aplication we complete the comput…
Hochschild duality, localization and smash products
M. A. Farinati
In this work we study the class of algebras satisfying a duality property with respect to Hochschild homology and cohomology, as in [VdB]. More precisely, we consider the class of…
G-Structure on the cohomology of Hopf algebras
M. Farinati, A. Solotar
We prove that Ext^*_A(k,k) is a Gerstenhaber algebra, where A is a Hopf algebra. In case A=D(H) is the Drinfeld double of a finite dimensional Hopf algebra H, our results implies t…
Hochschild homology and cohomology of generalized Weyl algebras
Marco A. Farinati, Andrea L. Solotar, Mariano Suarez-Alvarez
We compute Hochschild homology and cohomology of a class of generalized Weyl algebras (for short GWA, defined by Bavula in St.Petersbourg Math. Journal 1999 4(1) pp. 71-90). Exampl…
On the derived invariance of cohomology theories for coalgebras
Marco A. Farinati
We study the derived invariance of the cohomology theories , and associated to coalgebras over a field. We prove a theorem characterizing derived equivalences.…