in this note we introduce the notion of weak mccoy rings as a generalization of mccoy rings, and investigate their properties. also we show that, if is a semi-commutative ring, then is weak mccoy if and only if is weak mccoy.

We study central extensions of division rings with orderings of higher level. We show that orderings extend to certain immediate and inert extensions. Further, it is proved that any n–ordered division ring can be extended to a n–ordered division ring with almost real closed center. In the last section an old theorem due to Neumann is generalized: every n–ordered division ring can be extended to...

Abstract The increase in population day-by-day causes a direct and indirect effect on country’s pollution resources. These have adverse effects the environment contributes directly to climate change. A transition from an internal combustion engine electric vehicle is vital, since with lot of motor battery technology available globally. This paper focuses different types motors batteries that ca...

So called automatic guidance systems are becoming more common in agricultural tractors, so that a driver does not need to steer the vehicle. The systems are mostly relying on GPS with correction. However, these systems usually steer only the tractor itself, despite the fact that the implement is the one that has to be run side by side with the previous swath. With towed implements, or trailers,...

Abstract Planetary rings are often speculated as being a relatively common attribute of giant planets, partly based on their prevalence within the solar system. However, formation and sustainability remain topic open discussion, most massive planet our planetary system harbors very modest ring Here, we present results an N -body simulation that explores dynamical constraints presence substantia...