KaydedilenlerDerginizi ekleyin

Dergiler / 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)
Sayfa
—
Yayın Tarihi
2025-07-14
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We introduce hom-associative versions of the higher order Weyl algebras, generalizing the construction of the first hom-associative Weyl algebras.
📊
Temel Bulgular & Veri:We introduce hom-associative versions of the higher order Weyl algebras, generalizing the construction of the first hom-associative Weyl algebras.
💡
Sonuç & Katkı:We then show that the higher order hom-associative Weyl algebras are simple, and that all their one-sided ideals are principal.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (11)

  1. P. Back and J. Richter, On the hom-associative Weyl algebras, J. Pure Appl. Algebra, 224(9) (2020), 106368 (12 pp).
  2. P. Back and J. Richter, The hom-associative Weyl algebras in prime characteristic, Int. Electron. J. Algebra, 31 (2022), 203-229.
  3. P. Back, J. Richter and S. Silvestrov, Hom-associative Ore extensions and weak unitalizations, Int. Electron. J. Algebra, 24 (2018), 174-194.
  4. J. Dixmier, Sur les algebres de Weyl, Bull. Soc. Math. France, 96 (1968), 209-242.
  5. J. Dixmier, Sur les algebres de Weyl II, Bull. Sci. Math., 94 (1970), 289-301.
  6. Y. Fregier and A. Gohr, On unitality conditions for Hom-associative algebras, arXiv:0904.4874 [math.RA] (2009).
  7. J. T. Hartwig, D. Larsson and S. D. Silvestrov, Deformations of Lie algebras using $\sigma$-derivations, J. Algebra, 295(2) (2006), 314-361.
  8. A. Makhlouf and S. D. Silvestrov, Hom-algebra structures, J. Gen. Lie Theory Appl., 2(2) (2008), 51-64.
  9. J. T. Stafford, Completely faithful modules and ideals of simple Noetherian rings, Bull. London Math. Soc., 8(2) (1976), 168-173.
  10. J. T. Stafford, Module structure of Weyl algebras, J. London Math. Soc., 18(3) (1978), 429-442.
  11. D. Yau, Hom-algebras and homology, J. Lie Theory, 19(2) (2009), 409-421.