Primitive ideals of noetherian generalized down-up algebras
Iwan Praton
TL;DR
This paper classifies the primitive ideals of noetherian generalized down-up algebras, providing a comprehensive understanding of their ideal structure in the context of noncommutative algebra.
Contribution
It offers the first complete classification of primitive ideals for a broad class of noetherian generalized down-up algebras.
Findings
Complete classification of primitive ideals
Identification of conditions for primitivity
Structural insights into generalized down-up algebras
Abstract
We classify the primitive ideals of generalized down-up algebras
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Advanced Topics in Algebra