Abstract

SUAREZ, Héctor; ANAYA, Fabián  and  REYES, Armando. Χ Property in Graded Skew PBW Extensions. Ciencia en Desarrollo [online]. 2021, vol.12, n.1, pp.33-41.  Epub Dec 10, 2021. ISSN 0121-7488.  https://doi.org/10.19053/01217488.v12.n1.2021.11937.

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.

Keywords : graded skew PBW extension; χ property; PI-algebra.

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