χ property in graded skew PBW extensions

Abstract

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.

Author Biography

Héctor Suárez

Boyacá, Tunja

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