| Title: | On certain functional equation in prime rings |
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| Authors: | ID Fošner, Maja (Author)
ID Marcen, Benjamin (Author)
ID Vukman, Joso (Author) |
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| Files: |  Fosner-2022-On_certain_functional_equation_in.pdf (2,25 MB)
MD5: 988776665A2E016ECC878B9351F4C495
 https://doi.org/10.1515/math-2022-0002
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FL - Faculty of Logistic
FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | The purpose of this paper is to prove the following result. Let R be prime ring of characteristic different from two and three, and let F:R→R be an additive mapping satisfying the relation F(x3)=F(x2)x−xF(x)x+xF(x2) for all x∈R. In this case, F is of the form 4F(x)=D(x)+qx+xq for all x∈R, where D:R→R is a derivation, and q is some fixed element from the symmetric Martindale ring of quotients of R. |
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| Keywords: | prime ring, derivation, Jordan derivation, functional equation, algebra |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 07.10.2021 |
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| Article acceptance date: | 10.01.2022 |
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| Publication date: | 04.04.2022 |
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| Publisher: | De Gruyter Open |
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| Year of publishing: | 2022 |
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| Number of pages: | Str. 140-152 |
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| Numbering: | Letn. 20, Št. 1 |
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| PID: | 20.500.12556/DKUM-89089  |
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| UDC: | 512 |
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| ISSN on article: | 2391-5455 |
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| COBISS.SI-ID: | 104659203 |
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| DOI: | 10.1515/math-2022-0002 |
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| Publication date in DKUM: | 12.06.2024 |
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| Views: | 293 |
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| Downloads: | 36 |
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| Metadata: |    |
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| Categories: | Misc.
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