搜索结果: 1-15 共查到“数学 Derivations”相关记录22条 . 查询时间(0.047 秒)
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...
Generalized derivations on Lie ideals in prime rings
Derivations Lie ideals generalized derivations centralizing mappings prime rings
2011/4/6
Let R be a prime ring with characteristic different from two, U a nonzero Lie ideal of R and f be a generalized derivation associated with d. We prove the following results: (i) If [u,f(u)] \in Z, for...
We consider a Weitzenb\"ock derivation $\Delta$ acting on a polynomial ring $R=K[\xi_1,\xi_2,...,\xi_m]$ over a field $K$ of characteristic 0. The $K$-algebra $R^\Delta = \{h \in R \mid \Delta(h) = 0...
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, generic formal fibers and bad Noetherian rings
Derivations generic formal fibers bad Noetherian rings
2010/12/9
We consider a circle of ideas involving differential algebra, local Noetherian rings, and their generic formal fibers. Connecting these ideas gives rise to what we term a “twisted” subring R of a ring...
Superstability for Generalized Module Left Derivations and Generalized Module Derivations on a Banach Module (II)
Superstability Generalized module left derivation Generalized module derivation Module left derivation Module derivation Banach module
2010/4/16
In this paper, we introduce and discuss the superstability of generalized module left derivations and generalized module derivations on a Banach module.
A perturbation of m-order derivations on Banach algebras
m-order derivation approximate m-order derivation stability
2010/2/25
Let \A be a unital Banach algebra and let m, 1 \leq m \leq 4, be an integer. If f: \A \to \A is an approximate m-order derivation in the sense of Hyers-Ulam-Rassias, then f: \A \to \A is an exact m-or...
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.
Posner´s Second Theorem and an Annihilator Condition with Generalized Derivations
Prime rings derivations left Utumi quotient rings two-sided Martindale quotient ring differential identities
2010/2/25
Let R be a prime ring of characteristic different from 2, with extended centroid C, U its two-sided Utumi quotient ring, d\neq 0 a non-zero generalized derivation of R, f(x1,..,xn) a non-central multi...
Note on Generalized Jordan Derivations Associate with Hochschild 2-cocycles of Rings
Derivation Jordan derivation generalized derivation generalized Jordan derivation Hochschild 2-cocycle
2010/2/26
We introduce a new type of generalized derivations associate with Hochschild 2-cocycles and prove that every generalized Jordan derivation of this type is a generalized derivation under certain condit...
On Jordan Generalized Higher Derivations in Rings
Higher Derivations Generalized Higher Derivations Commutator
2010/2/26
I. N. Herstein proved that any Jordan derivation on a prime ring of characteristic not 2 is a derivation. M. Breşar extended this result to semiprime rings, while M. Ferrero and C. Haetinger exte...