Rings based on pure iron have been manufactured by laser powder bed fusion. Different experimental conditions implemented to manufacture simple rings called “bulk”. Selected were used fabricate “structured” rings, made up of stacking lamellae separated weakly densified metal zones or spacers. The magnetic properties these measured in order determine their maximum flux density, permeability and ...

in this paper we focus on a special class of commutative local‎ ‎rings called spap-rings and study the relationship between this‎ ‎class and other classes of rings‎. ‎we characterize the structure of‎ ‎modules and especially‎, ‎the prime submodules of free modules over‎ ‎an spap-ring and derive some basic properties‎. ‎then we answer the‎ ‎question of lam and reyes about strongly oka ideals fam...

This article examines annihilators in the skew polynomial ring $R[x;alpha,delta]$. A ring is strongly right $AB$ if everynon-zero right annihilator is bounded. In this paper, we introduce and investigate a particular class of McCoy rings which satisfy Property ($A$) and the conditions asked by P.P. Nielsen. We assume that $R$ is an ($alpha$,$delta$)-compatible ring, and prove that, if $R$ is ni...

Toric differential inclusions occur as key dynamical systems in the context of Global Attractor Conjecture. We introduce notions minimal invariant regions and globally attracting for toric inclusions. describe a procedure explicitly constructing two-dimensional In particular, we obtain weakly reversible or endotactic (even if they have time-dependent parameters).

Mass-action kinetics is frequently used in systems biology to model the behavior of interacting chemical species. Many important dynamical properties are known to hold for such systems if their underlying networks are weakly reversible and have a low deficiency. In particular, the Deficiency Zero and Deficiency One Theorems guarantee strong regularity with regards to the number and stability of...

We define catalytic networks as chemical reaction networks with an essentially catalytic reaction pathway: one which is "on" in the presence of certain catalysts and "off" in their absence. We show that examples of catalytic networks include synthetic DNA molecular circuits that have been shown to perform signal amplification and molecular logic. Recall that a critical siphon is a subset of the...