23 citations · 43 across the 33 of their papers we have counts for
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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…
Cocommutative q-cycle coalgebra structures on the dual of the truncated polynomial algebra
Jorge Guccione, Juan José Guccione, Christian Valqui
In order to construct solutions of the braid equation we consider bijective left non-degenerate set-theoretic type solutions, which correspond to regular q-cycle coalgebras. We obt…
Solutions of the Braid Equation with set-type square
Jorge Alberto Guccione, Juan José Guccione, Christian Valqui
For a family of height one orders and each non-degenerate solution of the set-theoretic braid equation on satisfying su…
Solutions of the braid equation and orders
Jorge Alberto Guccione, Juan José Guccione, Christian Valqui
We introduce the notion of a non-degenerate solution of the braid equation on the incidence coalgebra of a locally finite order. Each one of these solutions induce by restriction a…