Ideals in hom-associative Weyl algebras

Year 2024, Early Access, 1 - 8

Per Back Johan Richter

https://doi.org/10.24330/ieja.1587178

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.

Keywords

Hom-associative Weyl algebra, hom-associative Ore extension, Stafford’s theorem

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