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math.QA2024
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…
math.RA2024
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…