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math.RA2018
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…
math.RA2016
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…
math.RA2007
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…