The class of ads modules with the SIP (briefly‎, ‎$SA$-modules) is studied‎. ‎Various conditions for a module to be $SA$-module are given‎. ‎It is proved that for a quasi-continuous module $M$‎, ‎$M$ is a UC-module if and only if $M$ is an $SA$-module‎. ‎Also‎, ‎it is proved that the direct sum of two $SA$-modules as $R$-modules is an $SA$-module when $R$ is the sum of the annihilators of thes...

Search for an improved gear tooth flank shape arose from heavy industry problems rolling mills. Original involute gears suffered severe damages. So, better teeth flanks should improve contact circumstances, decrease the pressure, and enhance a lubrication film. This was achieved by curved, pole symmetric path of purely graphical methods. And developed gears, proven in applications, showed highl...

a module $m$ is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor of $m$ into $m$. we prove that all right (left) modules over a ring are coretractable if and only if the ring is morita equivalent to a finite product of local right and left perfect rings.

Structured surfaces are used to reduce reflection and enhance light-trapping in silicon solar cells. In this simulation study, we investigated the relationship between refractive index of front-side coupling structures on top planar wafer-based crystalline cells performance structures. A crossed diffraction grating with a period 1 μm random pyramid varying indices were considered. Simulations c...

and colleagues have identified a protein called Hippi as one possible mediator of Huntington disease (HD) neuronal cell death. HD begins with expansion of the polyglutamine repeats in the huntingtin protein (Htt). This frees up Hip1 protein, which normally binds to Htt. Free Hip1 can then bind to the Hippi protein identified by Nicholson, and the two proteins join in a complex with procaspase 8...

We study finite set-theoretic solutions (X, r) of the Yang-Baxter equation of square-free multipermutation type. We show that each such solution over C with multipermutation level two can be put in diagonal form with the associated Yang-Baxter algebra A(C, X, r) having a q-commutation form of relations determined by complex phase factors. These complex factors are roots of unity and all roots o...