Non-unital Ore extensions
Patrik Lundström, Johan Öinert, Johan Richter
Colloquium Mathematicum 172 (2023), 217-229
MSC: Primary 16S32; Secondary 16S99, 16W70, 16S36, 16U70.
DOI: 10.4064/cm8941-11-2022
Opublikowany online: 11 January 2023
Streszczenie
We study Ore extensions of non-unital associative rings. We provide a characterization of simple non-unital differential polynomial rings , under the hypothesis that R is s-unital and \ker (\delta ) contains a non-zero idempotent. This result generalizes a result by Öinert, Richter and Silvestrov from the unital setting. We also present a family of examples of simple non-unital differential polynomial rings.
Autorzy
- Patrik LundströmDepartment of Engineering Science
University West
SE-46186 Trollhättan, Sweden
e-mail
- Johan ÖinertDepartment of Mathematics
and Natural Sciences
Blekinge Institute of Technology
SE-37179 Karlskrona, Sweden
e-mail
- Johan RichterDepartment of Mathematics and Natural Sciences
Blekinge Institute of Technology
SE-37179 Karlskrona, Sweden
e-mail