Non-commutative duplicates of finite sets

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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.
To appear in Journal of Algebra and Its Applications

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Rings and Algebras, K-Theory and Homology, Quantum Algebra, 16S35, 16S38, 16E40

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http://salesiana.dossiersoluciones.com/handle/123456789/131792

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405593
 http://arxiv.org/abs/math/0405593
 Journal of Algebra and Its Applications 5, 3 (05/04/2005) 361--377

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arXiv