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- Tsen_rank abstract "In mathematics, the Tsen rank of a field describes conditions under which a system of polynomial equations must have a solution in the field. The concept is named for C. C. Tsen, who introduced their study in 1936.We consider a system of m polynomial equations in n variables over a field F. Assume that the equations all have constant term zero, so that (0, 0, ... ,0) is a common solution. We say that F is a Ti-field if every such system, of degrees d1, ..., dm has a common non-zero solution whenever The Tsen rank of F is the smallest i such that F is a Ti-field. We say that the Tsen rank of F is infinite if it is not a Ti-field for any i (for example, if it is formally real).".
- Tsen_rank wikiPageID "36376453".
- Tsen_rank wikiPageRevisionID "561189047".
- Tsen_rank hasPhotoCollection Tsen_rank.
- Tsen_rank subject Category:Diophantine_geometry.
- Tsen_rank subject Category:Field_theory.
- Tsen_rank comment "In mathematics, the Tsen rank of a field describes conditions under which a system of polynomial equations must have a solution in the field. The concept is named for C. C. Tsen, who introduced their study in 1936.We consider a system of m polynomial equations in n variables over a field F. Assume that the equations all have constant term zero, so that (0, 0, ... ,0) is a common solution.".
- Tsen_rank label "Tsen rank".
- Tsen_rank sameAs m.0k988v2.
- Tsen_rank sameAs Q7849522.
- Tsen_rank sameAs Q7849522.
- Tsen_rank wasDerivedFrom Tsen_rank?oldid=561189047.
- Tsen_rank isPrimaryTopicOf Tsen_rank.