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Assembly of a complete mitogenome of Balkan Chamois (Rupicapra rupicapra balcanica)
Toni Tešija, Toni Safner, Laura Iacolina, Elena Bužan, Nino Bašić, Jianhai Chen, Jianlin Han, Nikica Šprem, 2020, published scientific conference contribution abstract

Keywords: Rupicapra, mitogenome, assembly
Published in RUP: 18.03.2020; Views: 1518; Downloads: 69
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Jordan [tau]-derivations of locally matrix rings
Chen-Lian Chuang, Ajda Fošner, Tsiu Kwen Lee, 2013, original scientific article

Abstract: 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 ▫$\dim_{\mathbb{F}} X>1$▫.
Keywords: mathematics, algebra, anti-automorphism, locally matrix ring, prime ring, Jordan homomorphism, Jordan ▫$\tau$▫-derivation, Banach space
Published in RUP: 15.10.2013; Views: 3835; Downloads: 83
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