Higher rank Bell--Rogalski algebras

Jason Gaddis; Daniele Rosso; Robert Won

Higher rank Bell--Rogalski algebras

Rings and Algebras 2025-06-26 v1 Representation Theory

Authors: Jason Gaddis , Daniele Rosso , Robert Won

Abstract

We generalize a construction of Bell and Rogalski to realize new examples of $\mathbb{Z}^n$ -graded simple rings. This construction also generalizes TGWAs of type $(A_1)^n$ . In addition to considering basic properties of these algebras, we provide a classification of weight modules in the setting of torsion-free orbits, study their (twisted) tensor products, and provide a simplicity criterion.

Keywords

Bell-Rogalski algebras Z^n-graded simple rings weight modules torsion-free orbits twisted tensor products

Cite

@article{arxiv.2506.20393,
  title  = {Higher rank Bell--Rogalski algebras},
  author = {Jason Gaddis and Daniele Rosso and Robert Won},
  journal= {arXiv preprint arXiv:2506.20393},
  year   = {2025}
}

Comments

26 pages. Comments welcome

Higher rank Bell--Rogalski algebras

Abstract

Keywords

Cite

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