in this work, we investigate the transfer of some homological properties from a ring $r$ to its amalgamated duplication along some ideal $i$ of $r$ $rbowtie i$, and then generate new and original families of rings with these properties.

for a ring endomorphism $alpha$ and an $alpha$-derivation $delta$, we introduce a concept, so called skew $pi$-armendariz ring, that is a generalization of both $pi$-armendariz rings, and $(alpha,delta)$-compatible skew armendariz rings. we first observe the basic properties of skew $pi$-armendariz rings, and extend the class of skew $pi$-armendariz rings through various ring extensions. we nex...

Epoxydiols are produced in the gas phase from the photo-oxidation of isoprene in the absence of significant mixing ratios of nitrogen oxides (NO(x)). The reactive uptake of these compounds onto acidic aerosols has been shown to produce secondary organic aerosol (SOA). To better characterize the fate of isoprene epoxydiols in the aerosol phase, the kinetics and products of the acid-catalyzed rin...

in this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. next, we investigate some properties of such rings. we prove that mn(r) is n-f-clean for any n-f-clean ring r. we also, get a condition under which the denitions of n-cleanness and n-f-cleanness are equivalent.

a topoframe, denoted by $l_{ tau}$,  is a pair $(l, tau)$ consisting of a frame $l$ and a subframe $ tau $ all of whose elements are complementary elements in$l$. in this paper, we define and study the notions of a$tau $-real-continuous function on a frame $l$ and the set of realcontinuous functions $mathcal{r}l_tau $ as an $f$-ring.we show that $mathcal{r}l_{ tau}$is actually a generalization ...

for a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. this class of rings includes the right principally quasi-baer rings and hence all prime rings. a certain n-generalized principally quasi-baer subring of the matrix ring are studied, and connections...

The ultra-high data rate of modern communication media has challenged network designers to migrate communication protocol functions, traditionally implemented in software, to hardware. At the same time, new quality of service requirements from the higher-level network applications have complicated the functions of communication protocols. QuickRing is a high-speed slotted-ring network that cons...

This paper presents a method to construct microfluidic channels without physical walls – wall-less microchannels. In order to minimize liquid surface areas contacted to solid walls, this method uses three dimensional ring arrays compared to the previous wall-less microfluidics based on two dimensional patterns of hydrophilic and hydrophobic areas. Thus, we can form free-standing liquid pathways...

Metal nanostructures at sub-wavelength scale have been used as plasmonic diffraction gratings and negative index metamaterials and have attracted interests in materials engineering and optics research. E-beam lithography is commonly used to fabricate these metal nanostructures; however, e-beam lithography has limitation in scale-up of nanostructure fabrication and is expensive. In this study, a...