let r and s be reduced rings with identities whose idempotents are central, and let m be an(r, s)-bimodule such that annr (m)=0. in this paper, we determine first the structure of automorphisms ofthe triangular ring, =sr mt0, and then, for all automorphisms α ,β of t we determine the structureof (α,β)-derivations of t.

The present paper is an attempt to describe and analyse the structure of causatives in Hmar, a Kuki-Chin subgroup Tibeto-Burman language family, spoken by around 98,550 speakers as per Census India, 2011. This discusses two types language: Morphological Lexical. Hmar has morphological causative forms, viz prefix /sùk-/ suffix /-tìr/, that are productively employed derivation structures. Lexical...

We study stability properties of kinks for the (1+1)-dimensional nonlinear scalar field theory models $$\begin{aligned} \partial _t^2\phi -\partial _x^2\phi + W'(\phi ) = 0, \quad (t,x)\in \mathbb {R}\times {R}. \end{aligned}$$ The orbital under general assumptions on potential W is a consequence energy arguments. Our main result derivation simple and explicit sufficient condition asymptotic gi...

Let A be a Banach algebra and X a Banach A-bimodule, the derivation D : A → X is semi-inner if there are ξ, μ ∈ X such that D(a) = a.ξ − μ.a, (a ∈ A). A is called semi-amenable if every derivation D : A → X∗ is semi-inner. The dual Banach algebra A is Connes semi-amenable (resp. approximately semi-amenable) if, every D ∈ Z1w _ (A,X), for each normal, dual Banach A-bimodule X, is semi -inner (re...

Let $R$ be a 2-torsion free semiprime ring with extended centroid $C$, $U$ the Utumi quotient ring of $R$ and $m,n>0$ are fixed integers. We show that if $R$ admits derivation $d$ such that $b[[d(x), x]_n,[y,d(y)]_m]=0$ for all $x,yin R$ where $0neq bin R$, then there exists a central idempotent element $e$ of $U$ such that $eU$ is commutative ring and $d$ induce a zero derivation on $(1-e)U$. ...

In this article, a dynamic model of a six degrees of freedom (6 DOF) Eight-Rotor MAV (micro aerial vehicles) is derived on the basis of the Newton-Euler formalism. The derivation comprises determining equations of the motion of the Eight-Rotor MAV in three dimensions and approximating the actuation forces through the modelling of aerodynamic coefficients and electric motor dynamics. For Eight-R...

This paper proposes a new approach for the analysis of shear-induced volume change of granular materials. Following a revisit to the micro-mechanical deformation mechanism and the ˆndings from discrete element method simulations, it is concluded that the double slip-rotation rate mechanism is appropriate for the description of granular materials subjected to shear. The implementation of energy ...

The paper presents the state-space (SS) model of brushless double-fed machine (BDFM) by taking negative conjugate (NC) transformation power machine’s correlation variable when current source control is supplied in m-t reference frame. Based on this, testing method parameters given, and SS described five obtained. derivation process realization slip-frequency vector feedback linearization (SFV-F...

Traditional anti-jamming techniques such as frequency hopping (FH) and direction-sequence spread spectrum (DSSS) are easily targeted by jammers. Inspired the significant advantages of reconfigurable intelligent surfaces (RIS), in order to overcome “double fading”, controllable multiple active RISs proposed explore communication this paper. To verify feasibility RIS, performance RIS is analyzed ...

We give a constructive account of the fundamental ingredients of Poisson Lie theory as the basis for a description of the classical double group D. The double of a group G has a pointwise decomposition D ∼ G × G * , where G and G * are Lie subgroups generated by dual Lie algebras which form a Lie bialgebra. The double is an example of a factorisable Poisson Lie group, in the sense of Reshetikhi...