MathDB3 problems
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The canonical base property for algebraic groups in positive characteristic
Positive-characteristic algebraic-group CBP conjecture. The theory associated with every algebraic group over satisfies the CBP.
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Finite Morley rank theories satisfy the canonical base property
Finite Morley rank CBP conjecture. Every theory of finite Morley rank satisfies the CBP.
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The finite-rank superstable CBP conjecture
A theory is superstable of finite Lascar rank if it is superstable and has finite Lascar rank, and it has the canonical base property (CBP) if, possibly over parameters, whenev…