5 citations · 8 across the 21 of their papers we have counts for
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Twisted planes
Jorge A. Guccione, Juan J. Guccione, Christian Valqui
Let k be a commutative ring. We find and characterize a new family of twisted planes (i. e. associative unitary k-algebra structures on the k-module k[X,Y], having k[X] and and k[Y…
How to disentangle two braided Hopf algebras
Matias Graña, Jorge A. Guccione, Juan J. Guccione
We show how to define the tensor product of two braided Hopf algebras.
Braided Sweedler cohomology
Sergio D. Corti, Jorge A. Guccione, Juan J. Guccione
We introduced a braided Sweedler cohomology, which is adequate to work with the H-braided cleft extensions studied in [J. A. Guccione and J. J. Guccione, Theory of braided Hopf cro…
The cyclic homology of monogenic extensions in the noncommutative setting
Graciela Carboni, Jorge A. Guccione, Juan J. Guccione
We study the Hochschild and cyclic homologies of noncommutative monogenic extensions. As an aplication we compute the Hochschild and cyclic homologies of the rank~1 Hopf algebras i…
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…