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1.
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.
Ključne besede: algebra, prime ring, semiprime ring, symmetric skew 3-derivation, centralizing mapping, commuting mapping
Objavljeno v RUP: 15.10.2013; Ogledov: 3727; Prenosov: 138
URL Povezava na celotno besedilo

2.
A note on generalized (m,n)-Jordan centralizers
Ajda Fošner, 2013, izvirni znanstveni članek

Opis: The aim of this paper is to define generalized ▫$(m, n)$▫-Jordan centralizers and to prove that on a prime ring with nonzero center and ▫${\rm char}(R) \ne 6mn(m+n)(m+2n)$▫ every generalized ▫$(m, n)$▫-Jordan centralizer is a two-sided centralizer.
Ključne besede: mathematics, prime ring, semiprime ring, left (right) centralizer, left (right) Jordan centralizer, (m, n)-Jordan centralizer, generalized (m, n)-Jordan centralizer
Objavljeno v RUP: 15.10.2013; Ogledov: 3382; Prenosov: 170
URL Povezava na celotno besedilo

3.
On [epsilon]-derivations and local [epsilon]-derivations
Ajda Fošner, Maja Fošner, 2010, izvirni znanstveni članek

Opis: In this paper, we describe ▫$\epsilon$▫-derivations in certain graded algebras by their actions on elements satisfying some special conditions. One of the main results is applied to local ▫$\epsilon$▫-derivations on some certain graded algebras.
Ključne besede: mathematics, algebra, graded algebras, graded prime algebras, graded semiprime algebras, ▫$\epsilon$▫-derivations, local ▫$\epsilon$▫-derivations
Objavljeno v RUP: 15.10.2013; Ogledov: 3145; Prenosov: 78
URL Povezava na celotno besedilo

4.
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.
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 v RUP: 15.10.2013; Ogledov: 4311; Prenosov: 76
URL Povezava na celotno besedilo

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