The theory of abelian p-groups with the quantifier I is decidable Andreas Baudisch (1980) Fundamenta Mathematicae
The theory of differentially closed fields in logics with cardinal quantifiers. J. Cowles (1977) Archiv für mathematische Logik und Grundlagenforschung
Two notes on abstract model theory. I. Properties invariant on the range of definable relations between structures Solomon Feferman (1974) Fundamenta Mathematicae
Two notes on abstract model theory. II. Languages for which, the set of valid sentences is semi-invariantly implicitly definable Solomon Feferman (1975) Fundamenta Mathematicae