Let R be a commutative Noetherian ring, I an ideal of R and M a non-zero R-module. In this paper we calculate the extension of annihilator of local cohomology modules H^t_I(M), t≥0, under the ring extension R⊂R[X] (resp. R⊂R[[X]]). By using this extension we will present some of the faithfulness conditions of local cohomology modules, and show that if the Lynch's conjecture, i...

Effects of cross-modal information on representational momentum and on representational gravity (ie on displacement of remembered location in the direction of target motion or in the direction of gravitational attraction, respectively) were examined. In experiment 1, ascending or descending visual motion (in the picture plane) was paired with ascending or descending auditory motion (in frequenc...