Martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. In this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(alpha, beta)-$derivation is additive.

: This article is in response to Jugdaohsingh et al.: The silicon supplement 'Monomethylsilanetriol' is safe and increases the body pool of silicon in healthy Pre-menopausal women. Nutrition & Metabolism 2013 10:37: http://www.nutritionandmetabolism.com/content/10/1/37 The response from the authors is published as Jugdaohsingh et al.: Response to Prof D. Vanden Berghe letter: 'There are not eno...

Two new reports conclude that the health costs of war are unaffordable A war on Iraq could cause half a million deaths and devastate the lives, health and environment of the combatants, Iraqi civilians, and people in neighbouring countries and beyond. The details are examined in an independent report entitled Collateral damage: the health and environmental costs of war on Iraq, prepared by heal...

As Director of the Office of Scientific Research and Development, Dr. Vannevar Bush has coordinated the activities of some six thousand leading American scientists in the application of science to warfare. In this significant article he holds up an incentive for scientists when the fighting has ceased. He urges that men of science should then turn to the massive task of making more accessible o...

In this article, we propose and analyze a computational method for numerical solution of general two point boundary value problems. Method is tested on problems to ensure the computational eciency. We have compared numerical results with results obtained by other method in literature. We conclude that propose method is computationally ecient and eective.