Mathematics – Rings and Algebras
Scientific paper
2004-05-31
Journal of Algebra and Its Applications 5, 3 (05/04/2005) 361--377
Mathematics
Rings and Algebras
To appear in Journal of Algebra and Its Applications
Scientific paper
We classify the twisted tensor products of a finite set algebra with a two elements set algebra using colored quivers obtained through considerations analogous to Ore extensions. This provides also a classification of entwining structures between a finite set algebra and the grouplike coalgebra on two elements. The resulting 2-nilpotent algebras have particular features with respect to Hochschild (co)homology and cyclic homology.
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