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Pairs of theories satisfying a Mordell–Lang condition
2020
Fundamenta Mathematicae
This paper proposes a new setup for studying pairs of structures. This new framework includes many of the previously studied classes of pairs, such as dense pairs of o-minimal structures, lovely pairs, fields with Mann groups, and H-structures, but also includes new ones, such as pairs consisting of a real closed field and a pseudo real closed subfield, and pairs of vector spaces with different fields of scalars. We use the larger generality of this framework to answer, at least in part, a
doi:10.4064/fm857-1-2020
fatcat:rkdv4pe4xrdr5hc6v73q4g4ley