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 <identifier>oai:arXiv.org:math/0612188</identifier>
 <datestamp>2006-12-15</datestamp>
 <setSpec>math</setSpec>
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 <authors>
 <author>
 	<keyname>Pe&#241;a</keyname>
	<forenames>Javier L&#243;pez</forenames>
 </author>
 <author>
 	<keyname>Navarro</keyname>
 	<forenames>Gabriel</forenames>
 </author>
</authors>

<title>On the classification and properties of noncommutative duplicates</title><categories>math.RA math.KT math.QA</categories><comments>11 pages, no figures</comments><subj-class>Rings and Algebras; K-Theory and Homology; Quantum Algebra</subj-class><msc-class>16W35; 16S35; 16E40</msc-class><abstract>  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.
</abstract></arXiv>
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