| Title: | Symmetric bi-derivations on prime and semi-prime rings |
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| Authors: | ID Vukman, Joso (Author) |
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| Files: |  http://dx.doi.org/10.1007/BF01840009
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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 ▫$K$▫ kolobar. Biaditivna simetrična preslikava ▫$D(.,.):K times K to K$▫ je simetrična biderivacija, če je za vsak fiksen ▫$y in K$▫ preslikava ▫$x mapsto D(x,y)$▫ derivacija. Glavni namen članka je dokazati rezultat v smislu klasičnega izreka E. Posnerja, ki pravi naslednje: Če je ▫$K$▫ prakolobar s karakteristiko različno od dva in sta ▫$D_1$▫ in ▫$D_2$▫ od nič različni derivaciji, potem preslikava ▫$x mapsto D_1(D_2(x))$▫ ne more biti derivacija. |
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| Keywords: | matematika, asociativni kolobarji in algebre, kolobar, prakolobar, polprakolobar, derivacija, simetrična biderivacija, mathematics, associative rings and algebras, prime ring, semiprime ring, derivation, simetric biderivation, semiprime ring, Banach algebra |
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| Year of publishing: | 1989 |
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| Number of pages: | str. 245-254 |
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| Numbering: | Vol. 38, iss. 2-3 |
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| PID: | 20.500.12556/DKUM-51426  |
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| UDC: | 512.552 |
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| ISSN on article: | 0001-9054 |
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| COBISS.SI-ID: | 1332228 |
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| NUK URN: | URN:SI:UM:DK:78RZOQRU |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1493 |
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| Downloads: | 102 |
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| Metadata: |    |
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| Categories: | Misc.
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