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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...
Kramers' law: Validity, derivations and generalisations
Arrhenius’ law Kramers’ law metastability large deviations Wentzell Freidlin theory
2011/7/28
Abstract: Kramers' law describes the mean transition time of an overdamped Brownian particle between local minima in a potential landscape. We review different approaches that have been followed to ob...
Derivations and Dirichlet forms on fractals
Fredholm module derivation metric space Dirichlet form finitely ramified fractal
2011/7/27
Abstract: We study derivations and Fredholm modules on metric spaces with a local regular conservative Dirichlet form. In particular, on finitely ramified fractals, we show that there is a non-trivial...
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.
On the Nonlinear Theory for Gravity Waves on the Ocean's Surface. Part I:Derivations
Nonlinear Theory Ocean's Surface Gravity Waves
2009/3/7
A general hydrodynamic solution is derived for arbitrary gravity-wave fields on the ocean surface by extending Stokes' (1847) original perturbational analysis. The solution to the nonlinear equations ...
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...