Gene Freudenburg (2001)
Annales Polonici Mathematici
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We give an overview of recent results concerning kernels of triangular derivations of polynomial rings. In particular, we examine the question of finite generation in dimensions 4, 5, 6, and 7.
Qimei Xiao, Wenjun Liu (2016)
Open Mathematics
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A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well known that quantic nucleus and quantic conucleus play important roles in a quantale. In this paper, the relationships between derivation and quantic nucleus (conucleus) are studied via introducing the concept of pre-derivation. ...
Utkina, E.A. (2005)
Lobachevskii Journal of Mathematics
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Yan, Dangui, Zhang, Chengchang (2011)
International Journal of Mathematics and Mathematical Sciences
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Martin Weigt, Ioannis Zarakas (2015)
Studia Mathematica
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We show that every continuous derivation of a countably dominated Fréchet GB*-algebra A is spatial whenever A is additionally an AO*-algebra.
Matthew J. Heath (2010)
Banach Center Publications
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We consider the compactness of derivations from commutative Banach algebras into their dual modules. We show that if there are no compact derivations from a commutative Banach algebra, A, into its dual module, then there are no compact derivations from A into any symmetric A-bimodule; we also prove analogous results for weakly compact derivations and for bounded derivations of finite rank. We then characterise the compact derivations from the convolution algebra ℓ¹(ℤ₊) to its dual. Finally,...
Mirjana Borisavljević (2007)
Publications de l'Institut Mathématique
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Jia Zhou, Liangyun Chen, Yao Ma (2016)
Open Mathematics
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In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆ End (T). Furthermore, we completely determine those Lie triple systems T with condition QDer (T) = End (T). We also show that the quasiderivations of T can be embedded as derivations in a larger Lie triple system.
Ivan Dimitrov Trendafilov (2012)
Discussiones Mathematicae - General Algebra and Applications
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The goal of this paper is to provide some basic structure information on derivations in finite semirings.
Feng Wei, Zhankui Xiao (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Mirjana Borisavljević (2010)
Kragujevac Journal of Mathematics
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