Algebraic Characterizations of Various Beth Definability Properties Eva Hoogland Abstract: In this paper it will be shown that the Beth definability property corresponds to surjectiveness of epimorphisms in abstract algebraic logic. This generalizes a result by I.~N\'emeti. Moreover, an equally general characterization of the weak Beth property will be given. This gives a solution to Problem 14 in \cite{sain:90}. Finally, the characterization of the projective Beth property for varieties of modal algebras by L.\ Maksimova will be shown to hold for the larger class of semantically algebraizable logics.