let a be a unital algebra over a field of characteristic zero. we show that every derivation from( ) n m a into its dual ( ) n m a ∗ is the sum of an inner derivation and a derivation induced by a derivationfrom a into a∗

The Boltzmann equation for a gas of smooth, inelastic hard spheres is introduced and its homogeneous solution for an isolated system is discussed. The possibility of hydrodynamic excitations is explored using the linearized Boltzmann equation for small spatial perturbations of the homogeneous state. It is shown that the spectrum of the generator for this linear dynamics contains five points at ...

The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(alpha,beta)$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(alpha,beta)$-derivation.

We study the distinguishability of linearized Reed–Solomon (LRS) codes by defining and analyzing analogs square-code Overbeck distinguisher for classical Gabidulin codes, respectively. Our main results show that works generalized (GLRS) defined with trivial automorphism, whereas Overbeck-type can handle LRS in general setting. further how to recover code parameters from any generator matrix suc...

The welding of foils, textiles, and textile composites made thermoplastic polymer materials using machines with an ultrasonic rotary sonotrode is a high-tech technique. Many authors have dealt only few parameters in earlier papers, mainly mentioning the speed, i.e., time, power generator. In this paper, acoustic model defined. Based on model, group 44 different important for has been summarised...

I present an interpretation of machine language programs as boolean expressions Source language programs may also be so interpreted The correctness of a code generator can then be expressed as a simple re lationship between boolean expressions Code generators can then be calculated from their speci cation Introduction A predicate divides its domain in two In the speci cation of computational be...

in this paper, we introduce the notion of derivation on krasner hyperrings as follows: the function d : r  r isa derivation on a krasner hyperring r if for all , , ry x  ) ( ) ( = ) ( y d x d y x d   andd (x  y) d (x)  y  x  d ( y). then, we investigate some fundamental properties of derivation on krasnerhyperings and prime krasner hyperrings. also, we introduce differential krasner hy...

begin{abstract} If $F,D:Rto R$ are additive mappings which satisfy $F(x^{n}y^{n})=x^nF(y^{n})+y^nD(x^{n})$ for all $x,yin R$. Then, $F$ is a generalized left derivation with associated Jordan left derivation $D$ on $R$. Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given in support of the theorems. end{abstract}

Cipriani and Sauvageot have shown that for any [Formula: see text]-generator text] of a tracially symmetric quantum Markov semigroup on C*-algebra there exists densely defined derivation from to Hilbert bimodule such text]. Here, we show this construction can in general not be generalized semigroups are with respect non-tracial state. In particular, all derivations bimodules assumed concrete fo...

Abstract We prove that the generator of $$L^2$$ L 2 implementation a KMS-symmetric quantum Markov semigroup can be expressed as square derivation with values in Hilbert bimodule, extending earlier results by Cipriani and Sauvageot for tracially symmetric semigroups seco...