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Non-Unital Ore Extensions
University West, Department of Engineering Science, Division of Mathematics, Computer and Surveying Engineering.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 (English)In: Colloquium Mathematicum, ISSN 0010-1354, E-ISSN 1730-6302, Vol. 172, no 2, p. 217-229Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
2023. Vol. 172, no 2, p. 217-229
Keywords [en]
non-unital ring, Ore extension, simple ring, outer derivation
National Category
Algebra and Logic
Identifiers
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
Available from: 2023-09-06 Created: 2023-09-06 Last updated: 2024-01-12Bibliographically approved

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Lundström, Patrik

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