Lupa

Iskanje po repozitoriju Pomoč

A- | A+ | Natisni
Iskalni niz: išči po
išči po
išči po
išči po
* po starem in bolonjskem študiju

Opcije:
  Ponastavi


1 - 7 / 7
Na začetekNa prejšnjo stran1Na naslednjo stranNa konec
1.
The Hyers-Ulam-Rassias stability of (m,n)[sub]{([sigma], [tau])}-derivations on normed algebras
Ajda Fošner, 2012, izvirni znanstveni članek

Opis: We study the Hyers-Ulam-Rassias stability of ▫$(m,n)_{(\sigma,\tau)}$▫-derivations on normed algebras.
Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: Hyers-Ulam-Rassias stability, normed algebra, ▫$(m, n)_{(\sigma, \tau)}$▫-derivation
Objavljeno: 15.10.2013; Ogledov: 1172; Prenosov: 14
URL Polno besedilo (0,00 KB)

2.
Identities with generalized skew derivations on Lie ideals
Vincenzo De Filippis, Ajda Fošner, Feng Wei, 2013, izvirni znanstveni članek

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 ▫$R$▫.
Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: mathematics, algebra, polynomial identity, generalized skew derivation, prime ring
Objavljeno: 15.10.2013; Ogledov: 1599; Prenosov: 71
URL Polno besedilo (0,00 KB)

3.
On generalized Jordan triple ([alpha], [beta]) [sup] [ast]-derivations and related mappings
Shakir Ali, Ajda Fošner, Maja Fošner, Mohammad Salahuddin Khan, 2013, izvirni znanstveni članek

Opis: Let ▫$R$▫ be a 2-torsion free semiprime ▫$\ast$▫-ring and let ▫$\alpha, \beta$▫ be surjective endomorphisms of ▫$R$▫. The aim of the paper is to show that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation on ▫$R$▫ is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫-derivation. This result makes it possible to prove that every generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation on a semisimple ▫$H^\ast$▫-algebra is a generalized Jordan ▫$(\alpha, \beta)^\ast$▫-derivation. Finally, we prove that every Jordan triple left ▫$\alpha^\ast$▫-centralizer on a 2-torsion free semiprime ring is a Jordan left ▫$\alpha^\ast$▫-centralizer.
Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: mathematics, algebra, semiprime ▫$\ast$▫-ring, ▫$H^\ast$▫-algebra, Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation, generalized Jordan triple ▫$(\alpha, \beta)^\ast$▫-derivation, Jordan triple left ▫$\alpha^\ast$▫-centralizer
Objavljeno: 15.10.2013; Ogledov: 1477; Prenosov: 24
URL Polno besedilo (0,00 KB)

4.
Jordan [tau]-derivations of locally matrix rings
Chen-Lian Chuang, Ajda Fošner, Tsiu Kwen Lee, 2013, izvirni znanstveni članek

Opis: Let ▫$R$▫ be a prime, locally matrix ring of characteristic not 2 and let ▫$Q_{ms}(R)$▫ be the maximal symmetric ring of quotients of ▫$R$▫. Suppose that ▫$\delta \colon R \to Q_{ms}(R)$▫ is a Jordan ▫$\tau$▫-derivation, where ▫$\tau$▫ is an anti-automorphism of $R$. Then there exists ▫$a \in Q_{ms}(R)$▫ such that ▫$\delta(x) = xa - a\tau(x)$▫ for all ▫$x \in R$▫. Let ▫$X$▫ be a Banach space over the field ▫$\mathbb{F}$▫ of real or complex numbers and let ▫$\mathcal{B}(X)$▫ be the algebra of all bounded linear operators on ▫$X$▫. We prove that ▫$Q_{ms}(\mathcal{B}(X)) = \mathcal{B}(X)$▫, which provides the viewpoint of ring theory for some results concerning derivations on the algebra ▫$\mathcal{B}(X)$▫. In particular, all Jordan ▫$\tau$▫-derivations of ▫$\mathcal{B}(X)$▫ are inner if ▫$\dim_{\mathbb{F}} X>1$▫.
Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: mathematics, algebra, anti-automorphism, locally matrix ring, prime ring, Jordan homomorphism, Jordan ▫$\tau$▫-derivation, Banach space
Objavljeno: 15.10.2013; Ogledov: 1474; Prenosov: 21
URL Polno besedilo (0,00 KB)

5.
On the generalized Hyers-Ulam stability of module left (m, n)-derivations
Ajda Fošner, 2012, izvirni znanstveni članek

Opis: We study the generalized Hyers-Ulam stability of functional equations of module left ▫$(m, n)$▫-derivations.
Najdeno v: ključnih besedah
Povzetek najdenega: ...algebra, Banach left A-module, module left ▫$(m, n)$▫-derivation...
Ključne besede: mathematics, algebra, generalized Hyers-Ulam stability, normed algebra, Banach left A-module, module left ▫$(m, n)$▫-derivation
Objavljeno: 15.10.2013; Ogledov: 1793; Prenosov: 58
URL Polno besedilo (0,00 KB)

6.
Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations
Ajda Fošner, 2013, izvirni znanstveni članek

Opis: The generalized Hyers-Ulam-Rassias stability of generalized module left ▫$(m,n)$▫-derivations on a normed algebra ▫$\mathcal{A}$▫ into a Banach left ▫$\mathcal{A}$▫-module is established.
Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: Hyers-Ulam-Rassias stability, normed algebra, Banach left A-module, module left (m, n)-derivation, generalized module left (m, n)-derivation
Objavljeno: 15.10.2013; Ogledov: 1599; Prenosov: 40
URL Polno besedilo (0,00 KB)

7.
Prime and semiprime rings with symmetric skew 3-derivations
Ajda Fošner, 2013, izvirni znanstveni članek

Opis: In this paper we introduce the notion of symmetric skew 3-derivations of prime or semiprime rings and prove that under certain conditions a prime ring with a nonzero symmetric skew 3-derivation has to be commutative.
Najdeno v: ključnih besedah
Povzetek najdenega: ......
Ključne besede: algebra, prime ring, semiprime ring, symmetric skew 3-derivation, centralizing mapping, commuting mapping
Objavljeno: 15.10.2013; Ogledov: 1482; Prenosov: 64
URL Polno besedilo (0,00 KB)

Iskanje izvedeno v 0 sek.
Na vrh
Logotipi partnerjev Univerza v Mariboru Univerza v Ljubljani Univerza na Primorskem Univerza v Novi Gorici