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Journals / International Electronic Journal of Algebra / 2025 / Volume: 38 Issue: 38

Ideals in hom-associative Weyl algebras

Per Back(Malardalen University)
Johan Richter(Blekinge Institute of Technology)
Pages
—
Publication Date
2025-07-14
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We then show that the higher order hom-associative Weyl algebras are simple, and that all their one-sided ideals are principal.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce hom-associative versions of the higher order Weyl algebras, generalizing the construction of the first hom-associative Weyl algebras.
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Key Findings & Data:We introduce hom-associative versions of the higher order Weyl algebras, generalizing the construction of the first hom-associative Weyl algebras.
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Conclusion & Impact:We then show that the higher order hom-associative Weyl algebras are simple, and that all their one-sided ideals are principal.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hom-associative Weyl algebra · hom-associative Ore extension · Stafford’s theorem

Abstract

We introduce hom-associative versions of the higher order Weyl algebras, generalizing the construction of the first hom-associative Weyl algebras. We then show that the higher order hom-associative Weyl algebras are simple, and that all their one-sided ideals are principal.

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Cite This Article

Back, P., Richter, J. (2025). Ideals in hom-associative Weyl algebras. International Electronic Journal of Algebra, Volume: 38 Issue: 38. https://doi.org/10.24330/ieja.1587178

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References (11)

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