avila and molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). this work is a further investigation of generalized weak structures due to avila and molina. further we introduce the structures ro(g) and rc(g) and study the properties of the structur...

in this note we introduce the notion of weak mccoy rings as a generalization of mccoy rings, and investigate their properties. also we show that, if is a semi-commutative ring, then is weak mccoy if and only if is weak mccoy.

Theory of weak localization is developed for two-dimensional holes in the presence in-plane magnetic field. The Zeeman splitting even hole momentum results spin-dependent phase changing quantum interference. negative correction to conductivity shown decrease by a factor two positive magnetoconductivity classically perpendicular field caused calculated both quadratic and quartic splittings. Calc...