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Article Dans Une Revue Journal of Algebra and Its Applications Année : 2005

Non-commutative duplicates of finite sets

Résumé

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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Dates et versions

hal-00001650 , version 1 (31-05-2004)
hal-00001650 , version 2 (05-04-2005)

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Claude Cibils. Non-commutative duplicates of finite sets. Journal of Algebra and Its Applications, 2005, 5 (3), pp.361--377. ⟨10.1142/S0219498806001776⟩. ⟨hal-00001650v2⟩
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