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This paper is an elaborated version of the material presented by the author in a three hour minicourse at "V International Course of Mathematical Analysis in Andalusia," Almeria, Spain, September 12-1...
Abstract: Let $A$ be a special biserial algebra over an algebraically closed field. We show that the first Hohchshild cohomology group of $A$ with coefficients in the bimodule $A$ vanishes if and only...
δ-derivations of n-ary algebras     δ-derivation  Filippov algebra  ternary Malcev algebra       font style='font-size:12px;'> 2011/9/19
Abstract: We defined \delta-derivations of n-ary algebras. We described \delta-derivations of (n+1)-dimensional n-ary Filippov algebras and simple finite-dimensional Filippov algebras over algebraical...
Abstract: We defined generalized \delta-derivations of algebra A as linear mapping \chi associated with usual \delta-derivation \phi by the rule \chi(xy)=\delta(\chi(x)y+x\phi(y))=\delta(\phi(x)y+x\ch...
A Note on Derivations of Lie Algebras     Note  Lie Algebras       font style='font-size:12px;'> 2010/11/12
In this note, we will prove that a finite dimensional Lie algebra $L$ of characteristic zero, admitting an abelian algebra of derivations $D\leq Der(L)$ with the property $$ L^n\subseteq \sum_{d\in D...
We extend some recent results on the differentiability of torsion theories. In particular, we generalize the concept of ( , )-derivation to ( , )-higher derivation and demonstrate that a filter of a...
设$R$是2-扭自由的素环,$Z$是它的中心,$U$是它的Lie理想.如果$d$是$R$的一个导子,并且在$U$上是同态或反同态,则$d=0$,或者$U\subseteq Z$.此结果改进了Asma, Rehman,以及Shakir的一个定理.
In this paper, we introduce the notion of two-sided a-derivation of a near-ring and give some generalizations of [1]. Let N be a near ring. An additive mapping f: N\rightarrow N is called an { \it (a,...
In this paper, we present some results concerning two generalized derivations on a semiprime ring. These results are a generalization of results of M. Bre\u{s}ar and J. Vukman in [2], which are relate...
On Derivations of Prime Gamma Rings     Derivation  gamma ring  prime gamma ring  quotient gamma ring       font style='font-size:12px;'> 2010/3/1
We consider some results in a G-ring M with derivation which is related to Q, and the quotient G-ring of M.

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