Emanuel Lasker was a German chess player, mathematician, and philosopher who was World Chess Champion for 27 years. He published chess magazines and five chess books, but later players and commentators found it difficult to draw lessons from his methods. His books about games presented a problem that is still considered notable in the mathematical analysis of card games. Lasker was a research mathematician who was known for his contributions to commutative algebra, which included proving the primary decomposition of the ideals of polynomial rings.