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Non-Unital Ore Extensions
Högskolan Väst, Institutionen för ingenjörsvetenskap, Avdelningen för Matematik, Data- och Lantmäteriteknik.ORCID-id: 0000-0001-6594-7041
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences, Karlskrona (SWE).
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences, Karlskrona (SWE).
2023 (engelsk)Inngår i: Colloquium Mathematicum, ISSN 0010-1354, E-ISSN 1730-6302, Vol. 172, nr 2, s. 217-229Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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.

sted, utgiver, år, opplag, sider
2023. Vol. 172, nr 2, s. 217-229
Emneord [en]
non-unital ring, Ore extension, simple ring, outer derivation
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Identifikatorer
URN: urn:nbn:se:hv:diva-20692DOI: 10.4064/cm8941-11-2022ISI: 000917921400001Scopus ID: 2-s2.0-85163993902OAI: oai:DiVA.org:hv-20692DiVA, id: diva2:1794599
Tilgjengelig fra: 2023-09-06 Laget: 2023-09-06 Sist oppdatert: 2024-01-12bibliografisk kontrollert

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