%0 Journal Article %T The relation of rapid ultrafilters and Q-points to van der Waerden ideal %A Jana Fla£¿kov¨¢ %J Mathematics %D 2010 %I arXiv %X We point out one of the differences between rapid ultrafilters and Q-points: Rapid ultrafilters may have empty intersection with van der Waerden ideal, whereas every Q-point has a non-empty intersection with van der Waerden ideal. Assuming Martin's axiom for countable posets we also construct a W-ultrafilter which is not a Q-point. %U http://arxiv.org/abs/1004.1879v2