Propiedad χ en extensiones PBW torcidas graduadas

Resumen

En este artículo estudiamos la propiedad χ de álgebras que son extensiones PBW torcidas graduadas. Demostramos que si R = ⊕p≥0Rp es un álgebra noetheriana N-graduada y A = σ(R)⟨x1,...,xn⟩ es una extensión PBW torcida cuasi-conmutativa graduada de R, entonces A satisface χ si y solo si R satisface χ. También damos condiciones suficientes para que una extensión PBW torcida graduada de R satisfaga χ.

Palabras clave

Extensión PBW torcida graduada, propiedad χ, PI-algebra.

Biografía del autor/a

Héctor Suárez

Boyacá, Tunja

Citas

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