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Derivations and Projections on Jordan Triples. An introduction to nonassociative algebra, continuous cohomology, and quantum functional analysis
Derivations and Projections Jordan Triples nonassociative algebra continuous cohomology quantum functional analysis Operator Algebras
2012/6/19
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...
Special biserial algebras with no outer derivations
Special biserial algebras Hochschild cohomology simple connectedness fundamental group
2011/9/21
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...
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...
Generalized δ-Derivations
generalized δ-derivation δ-(super)derivation alternative algebra Lie algebra Lie superalgebra Jordan superalgebra
2011/9/19
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...
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...
A note on $(\alpha, \beta)$-higher derivations and their extensions to modules of quotients
derivation higher derivation ring of quotients module of quotients
2010/12/3
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...
Derivations as Homomorphisms and Anti-homomorphisms on Lie Ideals (在Lie理想上为同态和反同态的导子)
素环 Lie理想 导子 同态 反同态
2007/12/12
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.
On near-rings with two-sided a-derivations
Prime near-ring semiprime near-ring (a, 1)-derivation (1, a)-derivation two-sided a-derivation
2010/2/26
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,...
On Orthogonal Generalized Derivations of Semiprime Rings
derivation orthogonal derivations generalized derivation orthogonal generalizedderivations prime ring semiprime ring
2010/2/26
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
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.