Let R be a 2-torsion free ring and L a Lie ideal of R. An additive mapping F : R ! R is called a generalized derivation on R if there exists a derivation d : R to R such that F(xy) = F(x)y + xd(y) holds for all x y in R. In the present paper we describe the action of generalized derivations satisfying several conditions on Lie ideals of semiprime rings.

In this Article, we give a simple criterion for the regularity of a tri-linear mapping. We provide if f : X × Y × Z −→ W is a bounded tri-linear mapping and h : W −→ S is a bounded linear mapping, then f is regular if and only if hof is regular. We also shall give some necessary and sufficient conditions such that the fourth adjoint D^∗∗∗∗ of a tri-derivation D is again tri-derivation.

In this article, we explore an alternative derivation of Hawking radiation. Instead the field-theoretic derivation, have suggested a simpler calculation based on quantum mechanical reflection from one-dimensional potential. The coefficient shows exponential fall in energy which, comparison with Boltzmann probability distribution, yields temperature. temperature is same as for spherically symmet...

the present paper, through the linguistic analysis of mulla sadra's philosophical views, has shown that a single linguistic model can be applied to the analysis of all his philosophical views. to this end, based on two linguistic theories regarding the semantic structure of derivation, it is illustrated that mulla sadra’s philosophical views conform to the linguistic model of semantic simp...