| Title: | On generalized Jordan triple ([alpha], [beta]) [sup] [ast]-derivations and related mappings |
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| Authors: | ID Ali, Shakir (Author)
ID Fošner, Ajda (Author)
ID Fošner, Maja (Author)
ID Khan, Mohammad Salahuddin (Author) |
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| Files: |  http://dx.doi.org/10.1007/s00009-013-0277-x
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| Abstract: | Let ▫$R$▫ be a 2-torsion free semiprime ▫$\ast$▫-ring and let ▫$\alpha, \beta$▫ be surjective endomorphisms of ▫$R$▫. The aim of the paper is to show that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation on ▫$R$▫ is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫-derivation. This result makes it possible to prove that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation on a semisimple ▫$H^\ast$▫-algebra is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫-derivation. Finally, we prove that every Jordan triple left ▫$\alpha^\ast$▫-centralizer on a 2-torsion free semiprime ring is a Jordan left ▫$\alpha^\ast$▫-centralizer. |
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| Keywords: | mathematics, algebra, semiprime ▫$\ast$▫-ring, ▫$H^\ast$▫-algebra, Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation, generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation, Jordan triple left ▫$\alpha^\ast$▫-centralizer |
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| Year of publishing: | 2013 |
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| Number of pages: | 13 str. |
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| PID: | 20.500.12556/RUP-1697  |
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| ISSN: | 1660-5446 |
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| UDC: | 512.552 |
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| COBISS.SI-ID: | 16660825 |
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| Publication date in RUP: | 15.10.2013 |
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| Views: | 6579 |
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| Downloads: | 90 |
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| Metadata: |    |
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