5 citations · 8 across the 20 of their papers we have counts for
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Number of homogeneous components of counterexamples to the Dixmier conjecture
Jorge Guccione, Juan Jose Guccione, Christian Valqui
Assume that and are elements of satisfying . The Dixmier Conjecture for says that they always generate . We show that if is a sum of not mor…
Comparison of two notions of weak crossed product
Jorge A. Guccione, Juan J. Guccione
We compare the restriction to the context of weak Hopf algebras of the notion of crossed product with a Hopf algebroid introduced in \cite{BB} with the notion of crossed product wi…
Cleft extensions of weak Hopf algebras
Jorge A. Guccione, Juan J. Guccione, Christian Valqui
In this paper we study the theory of cleft extensions for a weak bialgebra H. Among other results, we determine when two unitary crossed products of an algebra A by H are equivalen…
Twisted tensor products of with
J. Arce, Jorge A. Guccione, Juan J. Guccione +1
We find three families of twisting maps of K^m with K^n. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one…
Cleft extensions of a family of braided Hopf algebras
Mauricio Da Rocha, Jorge A. Guccione, Juan J. Guccione
We introduce a family of braided Hopf algebras that generalizes the rank 1 Hopf algebras introduced by Krop anad Radford and we study its cleft extensions
A characterization of quiver algebras based on double derivations
Jorge A. Guccione, Juan J. Guccione
Let k a characteristic zero field. We give a characterization for the finite quiver k-algebras, based on double derivations. More precisely, we prove that if an associative and uni…