On centralizers and pseudo-multidegree functions for non-commutative rings having PBW bases
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Published:2023-11-18
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Volume:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Author:
Niño Arturo1,
Reyes Armando1
Affiliation:
1. Universidad Nacional de Colombia — Sede Bogotá, Campus Universitario, Bogotá, D. C., Colombia
Abstract
In this paper, we introduce a notion of pseudo-multidegree function on non-commutative rings having Poincaré–Birkhoff–Witt (PBW) bases with the aim of establishing a criterion to determine whether the centralizer of an element has finite dimension over the non-commutative ring. We illustrate our results with remarkable families of algebras studied in the literature.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory