On the uniform dimension and the associated primes of skew PBW extensions
Sebasti\'an Higuera, Mar\'ia Camila Ram\'irez, Armando Reyes
TL;DR
This paper investigates the uniform dimension and associated prime ideals of modules over skew PBW extensions, providing insights into their algebraic structure and properties.
Contribution
It introduces new results on the uniform dimension and associated primes specifically for modules over skew PBW extensions.
Findings
Characterization of uniform dimension in skew PBW extensions
Identification of associated prime ideals in these modules
New theoretical insights into module structure
Abstract
In this paper, we study the uniform dimension and the associated prime ideals of induced modules over skew PBW extensions.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topology and Set Theory · Fuzzy and Soft Set Theory