2007-02-08T22:18:16Z
http://arXiv.org/oai2
oai:arXiv.org:math/0612188
2006-12-15
math
math/0612188
Peña
Javier López
Navarro
Gabriel
On the classification and properties of noncommutative duplicatesmath.RA math.KT math.QA11 pages, no figuresRings and Algebras; K-Theory and Homology; Quantum Algebra16W35; 16S35; 16E40 We give an explicit description of the set of all factorization structures,
or twisting maps, existing between the algebras k^2 and k^2, and classify the
resulting algebras up to isomorphism. In the process we relate several
different approaches formerly taken to deal with this problem, filling a gap
that appeared in a recent paper by Cibils. We also provide a counterexample to
a result concerning the Hochschild (co)homology appeared in a paper by J.A.
Guccione and J.J. Guccione.