MathDB6 problems
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The stable-field separable-extension conjecture
Stable-field conjecture. Every infinite stable field has no separable extensions; equivalently, every infinite stable field is separably closed.
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The Stable Fields Conjecture
A field is stable when its theory is stable in the sense of Shelah. Stable Fields Conjecture. Every infinite stable field is separably closed. The conjecture extends Macintyre's th…
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The conjecture that stable fields are separably closed
Stable-field conjecture. Every stable field is separably closed.
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The algebraic genericity characterization of algebraically closed stable fields
Algebraic genericity characterization. The following are equivalent:
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The separable-algebraicity genericity conjecture for stable fields
Separable-algebraicity genericity conjecture. The following are equivalent:
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The finite-weight stable field conjecture
Finite-weight stable field conjecture. is separably closed.