نتایج جستجو برای: lie derivations

تعداد نتایج: 52250  

Let $A$ be a Banach ternary algebra over a scalar field $Bbb R$ or $Bbb C$ and $X$ be a ternary Banach $A$--module. Let $sigma,tau$ and $xi$ be linear mappings on $A$, a linear mapping $D:(A,[~]_A)to (X,[~]_X)$ is called a Lie ternary $(sigma,tau,xi)$--derivation, if $$D([a,b,c])=[[D(a)bc]_X]_{(sigma,tau,xi)}-[[D(c)ba]_X]_{(sigma,tau,xi)}$$ for all $a,b,cin A$, where $[abc]_{(sigma,tau,xi)}=ata...

Journal: :Michigan Mathematical Journal 1964

Journal: :Transactions of the American Mathematical Society 1967

Journal: :Journal of Algebra 2008

Journal: :TEMA - Tendências em Matemática Aplicada e Computacional 2002

Journal: :Journal of Algebra 2000

2002
Ana Duff

In this paper we describe the derivations of orthosymplectic Lie superalgebras over a superring. In particular, we derive sufficient conditions under which the derivations can be expressed as a semidirect product of inner and outer derivations. We then present some examples for which these conditions hold.

Journal: :Proceedings of the American Mathematical Society 1957

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