5 papers
Some algorithms related to the Jacobian Conjecture
Jorge A. Guccione, Juan J. Guccione, Rodrigo Horruitiner +1
We describe an algorithm that computes possible corners of hypothetical counterexamples to the Jacobian Conjecture up to a given bound. Using this algorithm we compute the possible…
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…
Cyclic homology of cleft extensions of algebras
Jorge A. Guccione, Juan J. Guccione, Christian Valqui
Let k be a commutative algebra with the field of the rational numbers included in k and let (E,p,i) be a cleft extension of A. We obtain a new mixed complex, simpler than the canon…
Cyclic homology of braided Hopf crossed products
Graciela Carboni, Jorge A. Guccione, Juan J. Guccione +1
Let k be a field, A a unitary associative k-algebra and V a k-vector space endowed with a distinguished element 1_V. We obtain a mixed complex, simpler that the canonical one, that…
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…