Abstract: Let \Omega X denote the Moore loops on a space X and let F be a …field. In this talk we de…fine the notion of an A_infinity-bialgebra, compute the structure relations in some simple examples, and show how to induce an A_infinity-bialgebra structure on H_* (\Omega X; F) that is unique up to isomorphism. Note: At this meeting we will also try to organize some activities in memory of our colleague Don Schack who died last month.