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K ‐generic Projective Planes have Morley Rank Two or Infinity
Author(s) -
Baldwin John T.,
Itai Masanori
Publication year - 1994
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19940400202
Subject(s) - mathematics , infinity , rank (graph theory) , projective test , argument (complex analysis) , combinatorics , mathematics subject classification , projective plane , pure mathematics , geometry , mathematical analysis , biochemistry , chemistry , correlation
We show that K ‐generic projective planes have Morley rank either two or infinity. We also show give a direct argument that such planes are not Desarguesian. Mathematics Subject Classification: 03C45, 05C90, 51A35.