Propiedad χ en extensiones PBW torcidas graduadas
DOI:
https://doi.org/10.19053/01217488.v12.n1.2021.11937Palabras clave:
Extensión PBW torcida graduada, propiedad χ, PI-algebra.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.
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Referencias
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[6] J. Y. Gómez and H. Suárez, “Double Ore extensions versus graded skew PBW extensions”, Comm. Algebra, vol. 48, no. 1, p. 185-197, 2020.
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[12] O. Lezama and A. Reyes, “Some homological properties of skew PBW extensions”, Comm. Algebra, vol. 42, no. 3, p. 1200-1230, 2014.
[13] A. Reyes and H. Suárez, “Some remarks about the cyclic homology of skew PBW extensions", Ciencia En Desarrollo, vol. 7, no. 2, p. 99-107, 2016.
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[19]H. Suárez, O. Lezama and A. Reyes, “Some relations between N-Koszul, Artin-Schelter regular and Calabi-Yau algebras with skew PBW extensions”, Ciencia En Desarrollo, vol. 6, no. 2, p. 205-213, 2015.
[20]H. Suárez, O. Lezama and A. Reyes, “Calabi- Yau property for graded skew PBW extensions”, Rev. Colombiana Mat., vol. 51, no. 2, p. 221-238, 2017.
[21]H. Suárez and A. Reyes, “Nakayama automorphism of some skew PBW extensions”, Ingeniería y Ciencia, vol. 15, no. 29, p. 157-177, 2019.
