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Vol. 7 No. 2 (2016)
Julio - Diciembre

Artículos de investigación / Research papers

Some Remarks About the Cyclic Homology of Skew PBW Extensions / Algunas observaciones sobre la homología cíclica de extensiones PBW torcidas

https://doi.org/10.19053/01217488.v7.n2.2016.4219

Published 2016-11-15

  • Héctor Julio Suárez Suárez
    • ,
  • Milton Armando Reyes Villamil

Héctor Julio Suárez Suárez
Universidad Pedagógica y Tecnológica de Colombia.

Milton Armando Reyes Villamil
Universidad Nacional de Colombia, sede Bogotá.

Abstract

Abstract

We study the cyclic homology for a class of noncommutative polynomial rings known as skew
PBW extensions. We obtain explicit computations for some important families of such extensions
over fields. In particular, we consider the cyclic homology of skew PBW extensions of
derivation type, certain classes of Ore extensions, operator algebras, difusion algebras, quantum
algebras and 3-dimensional skew polynomial algebras.

 

Resumen

Estudiamos la homología cíclica de una clase de anillos de polinomios no conmutativos denominados
extensiones PBW torcidas. Obtenemos cálculos explícitos para algunas familias importantes de este tipo
de extensiones sobre cuerpos. En particular, consideramos la homología cíclica de las extensiones PBW
torcidas de tipo derivación, ciertas clases de extensiones de Ore, álgebras de operadores, álgebras de difusión, álgebras cuánticas y álgebras de polinomios torcidos 3-dimensionales.



Keywords

Cyclic homology, filtered rings, skew PBW extensions

PDF

References

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