Uniform Dimension over Skew PBW Extensions

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Brown Representability and Spaces over a Category

Embeddings on Spaces of Generalized Bounded Variation

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Revista Colombiana de Matemáticas

Print version ISSN 0034-7426

Abstract

REYES, ARMANDO. Uniform Dimension over Skew PBW Extensions. Rev.colomb.mat. [online]. 2014, vol.48, n.1, pp.79-96. ISSN 0034-7426. https://doi.org/10.15446/recolma.v48n1.45196.

The aim of the present paper is to show that, under some conditions, the uniform dimension of a ring R is the same as the uniform dimension of a skew Poincaré-Birkhoff-Witt extension built on R.

Keywords : Non-commutative rings; Filtered and graded rings; PBW extensions; Uniform dimension; Nonsingular modules.

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