Volume 21 • Number 1 • 1998   • Reiter's Condition on Foundation Semigroups A. Nasr-Isfahani Abstract. Let S be a foundation semigroup with identity and with a multiplicative weight function w. In this paper, we show that S satisfies Reiter's condition if and only if there exists a left invariant mean on the dual space of the weighted measure algebra Finally, we give an example which shows that this result is not true if the hypothesis that S is foundation is dropped. Full text: PDF