PolgÃ r is now ranked number 51 in the world , the only woman on FIDE 's Top 100 Players list ; she has been ranked as high as eighth . PolgÃ r is ranked number 53 in the world on the January 2011 FIDE rating list with an Elo rating of 2686 , the woman on FIDE 's Top 100 Players list , and has been ranked as high as eighth ( in 2005 ) .