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.

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...

In this paper we prove the following result, which is related to a classical result of Chernoff. Let X be a real or complex Banach space, let A(X) be a standard operator algebra on X and let L(X) be an algebra of all bounded linear operators on X. Suppose we have a linear mapping D : A(X) → L(X) satisfying the relation D(Am+n) = D(Am)An + AmD(An) for all A ∈ A(X) and some fixed integers m ≥ 1, ...

The motion of three bodies can be solved perturbatively when a tightly bound inner binary is orbited by distant perturber, giving rise for example to the well-known Kozai-Lidov oscillations. We propose study relativistic hierarchical three-body orbits adapting Effective Field Theory techniques used in two-body problem. This allows us conveniently treat as an effective point-particle, thus reduc...

This paper outlines the variational derivation of Lagrangian equilibrium equations for third-gradient materials, stemming from minimization total potential energy functional, and selection suitable dual variables to represent inner work in Eulerian configuration. Volume, face, edge wedge contributions were provided through integration by parts virtual repeated applications divergence theorem ex...

Tourmalinization characterizes the most pervasive alteration type in the Nezam Abad ore deposit, west-central Iran. It delineates high-temperature centers of mineralization and together with quartz and cassiterite form inner parts of the alteration halo. The composition of tourmalines plots mostly along and between the proton and alkali-deficient end members. Tourmaline in quartzdioritic host i...

sarhaddi balochi dialect, a language variety of western (rakhshani) balochi, employs derivation through affixation as one of its word formation processes. the purpose of this article is to present a synchronic description of the way(s) different derivational affixes function in making complex words in sarhaddi balochi as spoken in granchin[1] district located about 35kms to the southeast of kha...

The inner cell mass (ICM) and trophoblast cell lineages duet early embryonic development in mammals. After implantation, the ICM forms the embryo proper as well as some extraembryonic tissues, whereas the trophoectoderm (TE) exclusively forms the fetal portion of the placenta and the trophoblast giant cells. Although embryonic stem (ES) cells can be derived from ICM in cultures of mouse blastoc...

The Fast Pole-Zero (ARMA) Recursive Least Squares Algorithm is derived using geometric projections. The new algorithm has a reduced number of computations compared to the algorithm obtained using matrix methods. In particular two inner products are eliminated. This is particularly important in multiprocessor implementations of the algorithm. The geometric approach provides insight and useful in...