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 1 - 3 / 31 1.Jordan [tau]-derivations of locally matrix ringsChen-Lian Chuang, Ajda Fošner, Tsiu Kwen Lee, 2013, original scientific articleAbstract: 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 ▫$\dim_{\mathbb{F}} X>1$▫.Found in: ključnih besedahSummary of found: Zadetek v naslovuKeywords: mathematics, algebra, anti-automorphism, locally matrix ring, prime ring, Jordan homomorphism, Jordan ▫$\tau$▫-derivation, Banach spacePublished: 15.10.2013; Views: 1675; Downloads: 27 Full text (0,00 KB) 2.Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphsGabriel Verret, Primož Potočnik, Pablo Spiga, 2015, original scientific articleFound in: ključnih besedahSummary of found: ...lokalno-diedrski, valency 3, valency 4, vertex-transitive, arc-transitive, locally-dihedral, ... Keywords: valenca 3, valenca 4, točkovna tranzitivnost, ločna tranzitivnost, lokalno-diedrski, valency 3, valency 4, vertex-transitive, arc-transitive, locally-dihedralPublished: 15.10.2015; Views: 1458; Downloads: 126 Full text (0,00 KB) 3.On the order of Borel subgroups of group amalgams and an application to locally-transitive graphsGabriel Verret, Pablo Spiga, Luke Morgan, 2015, original scientific articleFound in: ključnih besedahSummary of found: Zadetek v naslovuKeywords: locally-restrictive, locally-transitive graph, semiprimitive, group amalgamsPublished: 03.04.2017; Views: 857; Downloads: 101 Full text (0,00 KB)
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