NON-COMMUTATIVE DUPLICATES OF FINITE SETS-Reference-Cited by-同舟云学术

NON-COMMUTATIVE DUPLICATES OF FINITE SETS

Published:2006-06 Issue:03 Volume:05 Page:361-377
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

CIBILS CLAUDE¹

Affiliation:

1. Université Montpellier 2, Institut de Mathématiques et de Modélisation de Montpellier, F-34095 Montpellier Cedex 5, France

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498806001776

Reference8 articles.

1. Hochschild homology in a braided tensor category

2. Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations

3. On Modules Associated to Coalgebra Galois Extensions

4. On twisted tensor products of algebras

5. Cyclic and Hochschild homology of 2-nilpotent algebras

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