Jezik: | Angleški jezik |
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Leto izida: | 2005 |
Tipologija: | 1.01 - Izvirni znanstveni članek |
Organizacija: | UM PEF - Pedagoška fakulteta |
UDK: | 512.552 |
COBISS: | 13984601 |
ISSN: | 0305-0041 |
Št. ogledov: | 716 |
Št. prenosov: | 80 |
Ocena: | 0 (0 glasov) |
Metapodatki: |
Sekundarni jezik: | Neznan jezik |
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Sekundarni naslov: | Alternativni pristop k študiju jordanskih odvajanj |
Sekundarni povzetek: | Let ▫$d$▫ be a Jordan derivation from a ring ▫$\mathcal{A}$▫ into an ▫$\mathcal{A}$▫-bimodule ▫$\mathcal{M}$▫. Our main result in particular shows that the restriction of ▫$d$▫ to the ideal of ▫$\mathcal{A}$▫ generated by certain higher commutators of ▫$\mathcal{A}$▫ is a derivation. This general statement is used for proving that under various additional conditions ▫$d$▫ must be a derivation on ▫$\mathcal{A}$▫. Furthermore, several examples of proper Jordan derivations are given, ▫$C^{\ast}$▫-algebras admitting proper additive Jordan derivations are characterized, and the connections with related problems on Jordan homomorphisms and Jordan ▫$\mathcal{A}$▫-module homomorphisms are discussed. |
Sekundarne ključne besede: | matematika;algebra;komutator;jordansko odvajanje;odvajanje; |
Vrsta dela (COBISS): | Delo ni kategorizirano |
Strani: | str. 411-425 |
Letnik: | ǂVol. ǂ139 |
Zvezek: | ǂPart ǂ3 |
Čas izdaje: | 2005 |
ID: | 1472728 |