Bresar in 1993 proved that each biderivation on a noncommutative prime ring is a multiple of a commutatot. A result of it is a characterization of commuting additive mappings, because each commuting additive map give rise to a biderivation. Then in 1995, he investigated biderivations, generalized biderivations and sigma-biderivations on a prime ring and generalized the results of derivations fo...

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 classical invariance theorem for Poisson measures states that given a deterministic transformation τ : X → Y between measure spaces (X, σ) and (Y, μ) sending σ to μ, the corresponding transformation on point processes maps the Poisson distribution πσ with intensity σ(dx) on X to the Poisson distribution πμ with intensity μ(dy) on Y . In this note we present sufficient conditions for the inv...

In order to estimate roughness exponents of interface growth models, we propose the calculation of effective exponents from the roughness fluctuation σ in the steady state. We compare the finite-size behavior of these exponents and the ones calculated from the average roughness 〈w2〉 for two models in the 2 + 1-dimensional KardarParisi-Zhang (KPZ) class and for a model in the 1 + 1-dimensional V...

The constraint algebra for field theories constructed in an arbitrary spatial linear frame is derived from the principle of path independence. It is by now well–known that the canonical constraint algebra for any covariantly constructed field theory is of a fixed form regardless of the theory in question [13]. This algebra reflects the embeddability of a spatial surface into the spacetime manif...

Here, we describe a systematic derivation of the general form optical helicity density ellipticaly polarized paraxial Laguerre–Gaussian modes L mathvariant="normal">G ℓ , <m...