We studied group rings over the localized rings of regular rings,semihereditary rings and zero dimensional rings,and obtained the structures of projective modules over these group rings.

In this paper, it has been realized the recognition for weld seam and its initial position in local environment with visual method.

It is important to study the aircraft local environment spectrums farther on the basis of the airport macro environment spectrum.

The specimens of concrete cores were drilled from different elements of a pier,and the content of calcium carbonate and chloride distribution from the specimens were measured,based on which,the influences of local environment on carbonation and chloride distribution were analyzed.

The decomposition of orthogonal transformation over local ring;

A type of maximal subgroups of special orthogonal groups over local rings;

The number of the elementary matrices representing a matrix over a local ring;

Research of Methodology for Implementing PDM based on Partial Circulation;

By using Critical point theory s local linking theorems,the existence positive solution is obtained for a more generally superlinear Dirichlet problem.

With the aids of local linking theorem and mountain pass lemma, existence of periodic solutions of the second order Hamiltonian system under the new superquadratic conditions is obtained.