| Title: | Commuting and centralizing mappings in prime rings |
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| Authors: | ID Vukman, Joso (Author) |
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| Files: |  http://dx.doi.org/10.1090/S0002-9939-1990-1007517-3
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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: | EPF - Faculty of Business and Economics
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| Abstract: | Naj bo ▫$R$▫ kolobar. Preslikava ▫$F: R to R$▫ je komutirajoča na ▫$R$▫, če je ▫$[ F(x),x] = 0$▫ za vsak ▫$x in R$▫. Glavni rezultat: naj bo ▫$R$▫ prakolobar s karakteristiko različno od dva. Denimo, da obstaja od nič različna derivacija ▫$D: R to R$▫, pri kateri je preslikava ▫$x mapsto [ D(x),x]$▫, komutirajoča na ▫$R$▫. V tem primeru je ▫$R$▫ komutativen. |
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| Keywords: | matematika, asociativni kolobarji in algebre, kolobar, prakolobar, odvajanje, jordansko odvajanje, notranje odvajanje, komutirajoča preslikava, centralizirajoča preslikava, mathematics, associative rings and algebras, prime ring, derivation, Jordan derivation, inner derivation, commuting mapping, centralizing mapping |
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| Year of publishing: | 1990 |
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| Number of pages: | str. 47-52 |
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| Numbering: | Vol. 109, no. 1 |
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| PID: | 20.500.12556/DKUM-51422  |
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| UDC: | 512.552 |
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| ISSN on article: | 0002-9939 |
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| COBISS.SI-ID: | 298524 |
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| NUK URN: | URN:SI:UM:DK:ITCSXLKE |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1552 |
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| Downloads: | 113 |
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| Metadata: |    |
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| Categories: | Misc.
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