The main result of the present paper is that the projective line over a ring R is connected with respect to the relation ``distant'' if, and only if, R is a GE2-ring. 2000 Mathematics Subject Classi®cation. 51C05, 20H25.

A prospective, randomised and independently assessed trial of the Ring UPM total hip replacement showed that the quality of the early result was better if the femoral prosthesis was cemented than if it was not. More patients with cemented prostheses were painfree at four months (58% cemented:42% uncemented) and at one year (63% cemented:50% uncemented), but at two years pain relief was equal in...

Transmission through split ring resonator SRR structures loaded with capacitors is investigated both experimentally and numerically. Magnetic resonance frequency m is observed to shift to lower frequencies when capacitors are mounted to the various capacitive regions of the SRR structure. The amount of change in m depends strongly on the place where the capacitors are loaded. The magnetic reson...

Ring a ring of roses: Spectacular nanoscale molecular assemblies have been created by design of individual polymetallic components that are then linked together through simple reactions. These include an assembly where six octametallic rings surround a dodecametallic central ring.

A module is a group of closely related proteins that act in concert to perform specific biological functions through protein-protein interactions (PPIs) that occur in time and space. However, the underlying module organization and variance remain unclear. In this study, we collected module templates to infer respective module families, including 58,041 homologous modules in 1,678 species, and P...

Although the title mol-ecule, C(20)H(16)N(2)O(10), does not possess mol-ecular inversion symmetry, it lies on a crystallographic inversion centre which imposes disorder on the central cyclo-hexene ring. In addition, the cyclo-hexene ring has non-symmetry-related disorder over two sites, with the ratio of the major and minor components being 0.54:0.46. The overall effect is to produce four disor...

A module is a group of closely related proteins that act in concert to perform specific biological functions through protein–protein interactions (PPIs) that occur in time and space. However, the underlying organizational principles of a module remain unclear. In this study, we collected CORUM module templates to infer respective module families, including 58,041 homologous modules in 1,678 spe...

let r be an associative ring with unity. an element a in r is said to be r-clean if a = e+r, where e is an idempotent and r is a regular (von neumann) element in r. if every element of r is r-clean, then r is called an r-clean ring. in this paper, we prove that the concepts of clean ring and r-clean ring are equivalent for abelian rings. further we prove that if 0 and 1 are the only idempotents...