We say that the sequence g n , n ≥ 3, n → ∞ of polynomial transformation bijective maps of free module K n over commutative ring K is a sequence of stable degree if the order of g n is growing with n and the degree of each nonidentical polynomial map of kind g n k is an independent constant c. A transformation b = τ g n k τ −1 , where τ is affine bijection, n is large and k is relatively small,...

In the present work the nature of lone-pair-π interactions between water molecules and a number of π-rings with different substituents/hetero-atoms in the light of quantum chemical topology approaches is studied. The Quantum Theory of Atoms in Molecules (QTAIM) and Interacting Quantum Atoms (IQA) were employed for distinguishing the role of heteroatoms and electron withdrawing substituents in t...

It was conjectured by White in 1980 that the toric ring associated to a matroid is defined symmetric exchange relations. This conjecture extended discrete polymatroids Herzog and Hibi, they prove holds for with so called strong property. In this paper we generalize their result are products of also extends Conca on transversal polymatroids.

The Drosophila kelch gene encodes a member of a protein superfamily defined by the presence of kelch repeats. In Drosophila, Kelch is required to maintain actin organization in ovarian ring canals. We set out to study the actin cross-linking activity of Kelch and how Kelch function is regulated. Biochemical studies using purified, recombinant Kelch protein showed that full-length Kelch bundles ...

use of the double ring infiltrometer to measure soil water infiltration in center pivot irrigation systems isn’t an accurate approach because the real conditions of infiltration under center pivot sprinklers is different from what happens in the double ring. in this study the infiltration parameters were evaluated in real conditions of a center pivot system. for this purpose a single ring with ...

‎let $r$ be a ring with involution $*$‎. ‎an additive mapping $t:rto r$ is called a left(respectively right) centralizer if $t(xy)=t(x)y$ (respectively $t(xy)=xt(y)$) for all $x,yin r$‎. ‎the purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.

6-methyl-2-phenyl-7h-oxazolo [3,2-b] [1,2,4] triazine (1) undersent ting transformation on treatment with ammonia and primary amines to afford the corresponding imidazol [1,2-b][1,2,4] triazine (2). treatment of (1) with hydrazine hydrate gave the corresponding 3-aryl-4h-1,2,4- triazino [4,3-b][1,2,4] triazin-8 (1h)-one (3).

in this paper, we define and study the notion of the real-valued functions on a frame $l$. we show that $f(l) $, consisting of all frame homomorphisms from the power set of $mathbb{r}$ to a frame $ l$, is an $f$-ring, as a generalization of all functions from a set $x$ into $mathbb r$. also, we show that $f(l) $ is isomorphic to a sub-$f$-ring of $mathcal{r}(l)$, the ring of real-valued continu...

abstract determining saturated hydraulic conductivity (ks) is one of the important soil characteristics that its estimation is important in soil and water studies. there are several methods for estimating ks in unsaturated conditions. these methods include the inversed-auger-hole method, the double-ring infiltrometer and the single-ring pressure infiltrometer. the measurement of ks by these met...