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NON-UNITAL ORE EXTENSIONS

Authors :
Lundstrom, Patrik
Öinert, Johan
Richter, Johan
Lundstrom, Patrik
Öinert, Johan
Richter, Johan
Publication Year :
2023

Abstract

We study Ore extensions of non-unital associative rings. We provide a characterization of simple non-unital differential polynomial rings R[x; delta], under the hy-pothesis that R is s-unital and ker(delta) contains a non-zero idempotent. This result gener-alizes a result by oinert, Richter and Silvestrov from the unital setting. We also present a family of examples of simple non-unital differential polynomial rings.

Details

Database :
OAIster
Notes :
English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1373098094
Document Type :
Electronic Resource
Full Text :
https://doi.org/10.4064.cm8941-11-2022