Ajda Fošner (Avtor), Maja Fošner (Avtor), Joso Vukman (Avtor)

Povzetek

The main purpose of this paper is to study the following: Let m, n, and ▫$k_{i}, i = 1, 2, ..., n$▫ be positive integers and let ▫$R$▫ be a ▫$2m(m+ k_{1} + k_{2} + ... + k_{n} -1)!$▫-torsion free semiprime ring. Suppose that there exist derivations ▫$D_{i} : R \to R, i = 1, 2, ..., n + 1$▫ , such that ▫$D_{1}(x^{m})x^{k_{1}+...+k_{n}}+x^{k_{1}} D_{2}(x^{m})x^{k_{2}+...+k_{n}}+...+x^{k_{1}+...+k_{n}}D_{n+1}(x^{m})=0$▫ holds for all ▫$x \in R$▫. Then we prove that ▫$D_{1}+D_{2}+...+D_{n+1}=0$▫ and that the derivation ▫$k_{1}D_{2}+(k_{1}+k_{2})D_{3}+...+(k_{1}+k_{2}+...+k{n})D_{n+1}$▫ maps ▫$R$▫ into its center. We also obtain a range inclusion result of continuous derivations on Banach algebras.

Ključne besede

matematika;algebra;asociativni kolobarji in algebre;Banachove algebre;kolobarji;preslikave;mathematics;associative rings and algebras;prime rings;Banach algebras;identities;derivations;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UM FNM - Fakulteta za naravoslovje in matematiko
UDK: 512.552
COBISS: 16160776 Povezava se bo odprla v novem oknu
ISSN: 0420-1213
Št. ogledov: 661
Št. prenosov: 362
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: matematika;algebra;asociativni kolobarji in algebre;Banachove algebre;kolobarji;preslikave;
URN: URN:SI:UM:
Vrsta dela (COBISS): Znanstveno delo
Strani: str. [525]-530
Letnik: ǂVol. ǂ41
Zvezek: ǂno. ǂ3
Čas izdaje: 2008
ID: 9595926