χ property in graded skew PBW extensions

In this paper we study the χ property for algebras which are graded skew PBW extensions. It is shown that if R = ⊕p≥0Rp is a noetherian N-graded algebra and A = σ(R)⟨x1,...,xn⟩ is a graded quasi-commutative skew PBW extension of R, then A satisfies χ if and only if R satisfies χ. Also we give suf...

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Xehetasun bibliografikoak
Egile Nagusiak:	Suárez, Héctor, Anaya, Fabián, Reyes, Armando
Formatua:	Online
Hizkuntza:	spa
Argitaratua:	Universidad Pedagógica y Tecnológica de Colombia 2021
Gaiak:	Extensión PBW torcida graduada, propiedad χ, PI-algebra. Graded skew PBW extension, χ property, PI-algebra.
Sarrera elektronikoa:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11937

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Gaia:	In this paper we study the χ property for algebras which are graded skew PBW extensions. It is shown that if R = ⊕p≥0Rp is a noetherian N-graded algebra and A = σ(R)⟨x1,...,xn⟩ is a graded quasi-commutative skew PBW extension of R, then A satisfies χ if and only if R satisfies χ. Also we give sufficient conditions for that a graded skew PBW extension of R satisfies χ.