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 $(1-e)U$. ...

The aim of this paper and its sequel is to introduce and classify the holonomy algebras of the projective Tractor connection. This paper analyses the Tractor connection, the various structures it can preserve, and their geometric interpretations. It then presents the projective cone construction, a linking between standard affine holonomy and Tractor holonomy, and uses it to define the complex ...

Agricultural production has clearly benefited from the development of the tractor. The tractor provides a traction device and mobile power source. However, operating large equipment with high clearance on uneven ground leads to stability and overturn issues. Around the world, tractor overturns are still a leading cause of agricultural production fatalities. This special issue of the Journal of ...

Radial vibration transducer has the advantages of large radiation area, high efficiency, uniform radial radiation, and wide range action. Therefore, it is widely used in technical fields ultrasonic liquid treatment such as underwater acoustics, degradation sonochemistry. On other hand, 2-2 piezoelectric composite material one most commonly researched materials with best development prospects. C...

The aim of this paper and its sequel is to introduce and classify the holonomy algebras of the projective Tractor connection. After a brief historical background, this paper presents and analyses the projective Cartan and Tractor connections, the various structures they can preserve, and their geometric interpretations. Preserved subbundles of the Tractor bundle generate foliations with Ricci-f...

Symmetric spiral inductors are used for differential circuit applications for their robustness and superior noise rejection properties. In this work, characteristics of quality factor and inductance of symmetric inductors having octagonal structures, and the methods to improve performance have been suggested using the Agilent Momentum simulator [1]. From the results, we get differential quality...

In this paper we prove that the transitive closure of a nondeterministic octagonal relation using integer counters can be expressed in Presburger arithmetic. The direct consequence of this fact is that the reachability problem is decidable for flat counter automata with octagonal transition relations. This result improves the previous results of Comon and Jurski [7] and Bozga, Iosif and Lakhnec...

Between 1920 and 1939 a nearly six-fold increase occurred in the number of tractors on American farms, from 246,000 tractors in 1920 to 1,445,000 tractors in 1939 [5]. This substantial growth in tractor usage occurred during a period where the role of the tractor in agricultural production was changing. In 1920, the tractor was primarily viewed as the supplier of the peak power needs in spring ...

Many proposed applications of graphene require the ability to tune its electronic structure at the nanoscale. Although charge transfer and field-effect doping can be applied to manipulate charge carrier concentrations, using them to achieve nanoscale control remains a challenge. An alternative approach is 'self-doping', in which extended defects are introduced into the graphene lattice. The con...