Uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials
Sebasti\'an Higuera, Armando Reyes
TL;DR
This paper investigates the properties of inverse polynomial modules over skew Ore polynomials, focusing on their uniform and couniform dimensions to understand their algebraic structure.
Contribution
It introduces the study of uniform and couniform dimensions specifically for inverse polynomial modules over skew Ore polynomial rings, a novel exploration in this area.
Findings
Determined the uniform dimensions of these modules.
Analyzed the couniform dimensions in the context of skew Ore polynomials.
Provided new insights into the structure of inverse polynomial modules.
Abstract
In this paper, we study the uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications