Ideals in hom-associative Weyl algebras

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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Institutions

Publication Details

Journal
International Electronic Journal of Algebra
Published
2024-11-18
DOI
https://doi.org/10.24330/ieja.1587178
Citations
3
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
3.81
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article

Ideals in hom-associative Weyl algebras

Per Bäck, Johan Richter
3 citations
International Electronic Journal of Algebra
Advanced Topics in Algebra
3.81
article

Ideals in hom-associative Weyl algebras

Per Bäck, Johan Richter
article en
3 citations

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.

International Electronic Journal of AlgebraVol. 38(38)
Blekinge Institute of Technology (SE), Mälardalen University (SE)
Openalex Percentile: Top 5%
Advanced Topics in Algebra
3.81
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Ideals in hom-associative Weyl algebras — Per Bäck, Johan Richter · International Electronic Journal of Algebra (2024) | TGRS Research Map | TGRS