‎‎Let $R$ be a non-commutative ring with unity‎. ‎The commuting graph‎ of $R$ denoted by $Gamma(R)$‎, ‎is a graph with a vertex set‎ ‎$Rsetminus Z(R)$ and two vertices $a$ and $b$ are adjacent if and only if‎ $ab=ba$‎. ‎In this paper‎, ‎we investigate non-commutative rings with unity of order $p^n$ where $p$ is prime and $n in lbrace 4,5 rbrace$‎. It is shown that‎, ‎$Gamma(R)$ is the disjoint ...

the electronic conductance at zero temperature through a quantum wire with side-connected asymmetric quantum ring (as a scatter system) is theoretically studied using the non-interacting hamiltonian anderson tunneling method. in this paper we concentrate on the configuration of the quantum dot rings. we show that the asymmetric structure of qd-scatter system strongly influences the amplitude an...

the present study was undertaken to determine whether two-month treatment of streptozotocin (stz)-diabetic rats with aqueous leaf extract of trigonella foenum-graecum (tfg 200 mg/kg i.p.) could improve thoracic aortic responsiveness and to evaluate its endothelium dependency. for this purpose, vascular responses to kcl and noradrenaline (na) were measured. diabetic state significantly increased...

Here, new N,N′-dipyridoxyl(4,4''-diaminodiphenylether) Schiff-base ligand has been synthesized and characterized by IR, 1H NMR and mass spectrometry. Also, geometry optimization and theoretical assignment of IR spectrum of the ligand have been computed by employing density functional theory (DFT) method. Two pyridine rings and benzene rings in the bridge region are not in the same plane. The ca...

In order to prove that semistable elliptic curves E over Q are modular, A. Wiles [Wiles 95] considers the Galois representation ρ : Gal(Q/Q) −→ GL2(F3) provided by the 3-torsion points E[3] of a semistable elliptic curve E. He proves that certain rather restricted deformations of ρ are modular. It follows then that, in particular, the deformation provided by the Galois representation ρE : Gal(Q...

It is well known that a commutative ring R is complemented (that is, given a ∈ R there exists b ∈ R such that ab = 0 and a + b is a regular element) if an only if the total ring of quotients of R is von Neumann regular. We consider generalizations of the notion of a complemented ring and their implications for the total ring of quotients. We then look at the specific case when the ring is a rin...

We prove that if a right distributive ring R, which has at least one completely prime ideal contained in the Jacobson radical, satisfies either a.c.c or d.c.c. on principal right annihilators, then the prime radical of R is the right singular ideal of R and is completely prime and nilpotent. These results generalize a theorem by Posner for right chain rings.

To discover the nonlinear characteristics of pipe flow, we simulated the flow as a sum of many vortex rings. As a first step, we investigated the nonlinear interaction among a maximum of three vortex rings. The pipe wall was replaced by many bound vortices. A free vortex ring moves right or left according to the radius, and that of a particular radius keeps the initial position. The energy of a...

We introduce the notion ofstrongly $alpha$-reversible rings which is a strong version of$alpha$-reversible rings, and investigate its properties. We firstgive an example to show that strongly reversible rings need not bestrongly $alpha$-reversible. We next argue about the strong$alpha$-reversibility of some kinds of extensions. A number ofproperties of this version are established. It is shown ...

background and objective: evaluation of the results, safety, and stability of ferrara intracorneal ring segment (ficrs) implantation for keratoconus correction (age range was 24.39±8.32 years).   materials and methods: in this clinical trial study, 64 eyes of 57 patients with keratoconus and clear cornea that had ficrs implantation were studied. uncorrected visual acuity (ucva), best-spectacle ...