10 citations · 43 across the 42 of their papers we have counts for
49 papers
Cohomology of Trivial Linear Cycle Sets
Jorge Guccione, Juan José Guccione, Christian Valqui
We provide a complete classification of extensions of a trivial linear cycle set H by an abelian group I, under the assumption that both H and I are finite cyclic p-groups with p o…
Cohomology of Linear Cycle Sets when the adjoint group is finite abelian
Jorge Guccione, Juan José Guccione, Christian Valqui
This paper analyzes the second cohomology group of a linear cycle set with coefficients in an abelian group I, for linear cycle sets with commutative adjoint operation, focusing on…
Extensions of a family of Linear Cycle Sets
Jorge Guccione, Juan José Guccione, Christian Valqui
This paper explores the cohomology of linear cycle sets, focusing on extensions of a specific linear cycle set H by an abelian group I. We derive explicit formulas for the second c…
Hopf q-braces structures on rank one pointed Hopf algebras
Jorge A. Guccione, Juan J. Guccione, Christian Valqui
In this paper we determine all the Hopf q-brace structures on rank one pointed Hopf algebras and compute the socle of each one of them. We also identify which among them are Hopf s…
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…
Increasing the degree of a possible counterexample to the Jacobian Conjecture from 100 to 108
Jorge Alberto Guccione, Juan José Guccione, Rodrigo Horruitiner +1
We list all the pairs with for any hypothetical counterexample to the plane Jacobian Conjecture and discard them all, except the pair…