| Title: | On dependent elements in rings |
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| Authors: | ID Vukman, Joso (Author)
ID Kosi-Ulbl, Irena (Author) |
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| Files: |  International_Journal_of_Mathematics_and_Mathematical_Sciences_2004_Vukman,_Kosi-Ulbl_On_dependent_elements_in_rings.pdf (1,83 MB)
MD5: D40AF828E91A3AAEE9E2DC23919C306B
 http://www.hindawi.com/journals/ijmms/2004/548684/abs/
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | PEF - Faculty of Education
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| Abstract: | Let R be an associative ring. An element ▫$a\in R$▫ is said to be dependent on a mapping ▫$F:R\to R$▫ in case ▫$F(x)a=ax$▫ holds for all ▫$x\in R$▫. In this paper, elements dependent on certain mappings on prime and semiprime rings are investigated. We prove, for example, that in case we have a semiprime ring R, there are no nonzero elements which are dependent on the mapping ▫$\alpha + \beta$▫, where an ▫$\alpha$▫ and ▫$\beta$▫ are automorphisms of R |
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| Keywords: | mathematics, algebra, rings, algebras, derivation, Jordan derivation, left centralizer, right centralizer, additive mapping, dependent elements |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2004 |
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| Number of pages: | str. 2895-2906 |
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| Numbering: | Letn. 2004, št. 54 |
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| PID: | 20.500.12556/DKUM-66194  |
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| ISSN: | 0161-1712 |
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| UDC: | 512.552 |
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| ISSN on article: | 0161-1712 |
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| COBISS.SI-ID: | 13796360 |
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| DOI: | 10.1155/S0161171204311221 |
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| NUK URN: | URN:SI:UM:DK:OQQZ33RZ |
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| Publication date in DKUM: | 14.06.2017 |
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| Views: | 1221 |
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| Downloads: | 394 |
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| Metadata: |    |
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| Categories: | Misc.
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