| Naslov: | Identities with generalized skew derivations on Lie ideals |
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| Avtorji: | ID De Filippis, Vincenzo (Avtor)
ID Fošner, Ajda (Avtor)
ID Wei, Feng (Avtor) |
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| Datoteke: |  http://dx.doi.org/10.1007/s10468-012-9344-4
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Delo ni kategorizirano |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | IAM - Inštitut Andrej Marušič
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| Opis: | Let ▫$m, n$▫ be two nonzero fixed positive integers, ▫$R$▫ a 2-torsion free prime ring with the right Martindale quotient ring ▫$Q$▫, ▫$L$▫ a non-central Lie ideal of ▫$R$▫, and ▫$\delta$▫ a derivation of ▫$R$▫. Suppose that ▫$\alpha$▫ is an automorphism of ▫$R$▫, ▫$D$▫ a skew derivation of ▫$R$▫ with the associated automorphism ▫$\alpha$▫, and ▫$F$▫ a generalized skew derivation of ▫$R$▫ with the associated skew derivation ▫$D$▫. If ▫$$F(x^{m+n}) = F(x^m)x^n + x^m \delta (x^n)$$▫ is a polynomial identity for ▫$L$▫, then either ▫$R$▫ satisfies the standard polynomial identity ▫$s_4(x_1, x_2, x_3, x_4)$▫ of degree 4, or ▫$F$▫ is a generalized derivation of ▫$R$▫ and ▫$\delta = D$▫. Furthermore, in the latter case one of the following statements holds: (1) ▫$D = \delta = 0$▫ and there exists ▫$a \in Q$▫ such that ▫$F(x) = ax$▫ for all ▫$x \in R$▫; (2) ▫$\alpha$▫ is the identical mapping of ▫$R$▫. |
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| Ključne besede: | mathematics, algebra, polynomial identity, generalized skew derivation, prime ring |
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| Leto izida: | 2013 |
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| Št. strani: | str. 1017-1038 |
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| Številčenje: | Vol. 16, issue 4 |
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| PID: | 20.500.12556/RUP-1000  |
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| ISSN: | 1386-923X |
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| UDK: | 512.552 |
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| COBISS.SI-ID: | 16653657 |
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| Datum objave v RUP: | 15.10.2013 |
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| Število ogledov: | 4138 |
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| Število prenosov: | 144 |
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| Metapodatki: |     |
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