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62. Mednarodna konferenca o algebri in njeni uporabnostiAjda Fošner, 2010, drugi sestavni deli Opis: Namen prispevka je predstaviti mednarodno konferenco o algebri in njeni uporabnosti (The International Conference on Algebra and its Applications), ki je potekala od 20. februarja do 22. februarja 2010 v mestu Aligarh v Indiji. Konferenca je bila namenjena matematikom, ki raziskujejo na področju algebre - predstavili so svoje novejše rezultate, izmenjali ideje, postavili nova odprta vprašanja, reševali probleme in s tem prispevali k razvoju algebre ter z njo povezanih problemov.
Ključne besede: matematika, algebra, mednarodne konference
Objavljeno v RUP: 15.10.2013; Ogledov: 2861; Prenosov: 49
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65. On the generalized Hyers-Ulam stability of module left (m, n)-derivationsAjda Fošner, 2012, izvirni znanstveni članek Opis: We study the generalized Hyers-Ulam stability of functional equations of module left ▫$(m, n)$▫-derivations.
Ključne besede: mathematics, algebra, generalized Hyers-Ulam stability, normed algebra, Banach left A-module, module left ▫$(m, n)$▫-derivation
Objavljeno v RUP: 15.10.2013; Ogledov: 3549; Prenosov: 131
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66. On [epsilon]-derivations and local [epsilon]-derivationsAjda 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: 3247; Prenosov: 78
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67. Jordan [tau]-derivations of locally matrix ringsChen-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 ▫$\dim_{\mathbb{F}} X>1$▫.
Ključne besede: mathematics, algebra, anti-automorphism, locally matrix ring, prime ring, Jordan homomorphism, Jordan ▫$\tau$▫-derivation, Banach space
Objavljeno v RUP: 15.10.2013; Ogledov: 3826; Prenosov: 83
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