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Gregory Cherlin [35]Gregory L. Cherlin [5]
  1.  96
    ℵ0-Categorical, ℵ0-stable structures.Gregory Cherlin, Leo Harrington & Alistair H. Lachlan - 1985 - Annals of Pure and Applied Logic 28 (2):103-135.
  2.  22
    Real closed rings II. model theory.Gregory Cherlin & Max A. Dickmann - 1983 - Annals of Pure and Applied Logic 25 (3):213-231.
  3.  42
    Semisimple torsion in groups of finite Morley rank.Jeffrey Burdges & Gregory Cherlin - 2009 - Journal of Mathematical Logic 9 (2):183-200.
    We prove several results about groups of finite Morley rank without unipotent p-torsion: p-torsion always occurs inside tori, Sylow p-subgroups are conjugate, and p is not the minimal prime divisor of our approximation to the "Weyl group". These results are quickly finding extensive applications within the classification project.
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  4.  33
    QE rings in characteristic p n.Chantal Berline & Gregory Cherlin - 1983 - Journal of Symbolic Logic 48 (1):140 - 162.
    We show that all QE rings of prime power characteristic are constructed in a straightforward way out of three components: a filtered Boolean power of a finite field, a nilpotent Jacobson radical, and the ring Z p n or the Witt ring W 2 (F 4 ) (which is the characteristic four analogue of the Galois field with four elements).
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  5. Forbidden subgraphs and forbidden substructures.Gregory Cherlin & Niandong Shi - 2001 - Journal of Symbolic Logic 66 (3):1342-1352.
    The problem of the existence of a universal structure omitting a finite set of forbidden substructures is reducible to the corresponding problem in the category of graphs with a vertex coloring by two colors. It is not known whether this problem reduces further to the category of ordinary graphs. It is also not known whether these problems are decidable.
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  6. Infinite imprimitive homogeneous 3-edge-colored complete graphs.Gregory Cherlin - 1999 - Journal of Symbolic Logic 64 (1):159-179.
  7. Undecidability of some elementary theories over pac fields.Gregory Cherlin & Moshe Jarden - 1986 - Annals of Pure and Applied Logic 30 (2):137-163.
  8.  64
    Small representations of SL 2 in the finite Morley rank category.Gregory Cherlin & Adrien Deloro - 2012 - Journal of Symbolic Logic 77 (3):919-933.
    We study definable irreducible actions of SL₂(K) on an abelian group of Morley rank ≤ 3rk(K) and prove they are rational representations of the group.
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  9.  48
    Metrically homogeneous graphs of diameter 3.Daniela A. Amato, Gregory Cherlin & H. Dugald Macpherson - 2021 - Journal of Mathematical Logic 21 (1):2050020.
    We classify countable metrically homogeneous graphs of diameter 3.
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  10.  55
    On central extensions of algebraic groups.Tuna Altinel & Gregory Cherlin - 1999 - Journal of Symbolic Logic 64 (1):68-74.
    In this paper the following theorem is proved regarding groups of finite Morley rank which are perfect central extensions of quasisimple algebraic groups.Theorem1.Let G be a perfect group of finite Morley rank and let C0be a definable central subgroup of G such that G/C0is a universal linear algebraic group over an algebraically closed field; that is G is a perfect central extension of finite Morley rank of a universal linear algebraic group. Then C0= 1.Contrary to an impression which exists in (...)
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  11. Borovik-Poizat rank and stability.Jeffrey Burdges & Gregory Cherlin - 2002 - Journal of Symbolic Logic 67 (4):1570-1578.
    Borovik proposed an axiomatic treatment of Morley rank in groups, later modified by Poizat, who showed that in the context of groups the resulting notion of rank provides a characterization of groups of finite Morley rank [2]. (This result makes use of ideas of Lascar, which it encapsulates in a neat way.) These axioms form the basis of the algebraic treatment of groups of finite Morley rank undertaken in [1].There are, however, ranked structures, i.e., structures on which a Borovik-Poizat rank (...)
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  12.  28
    (1 other version)Daniel Lascar and Bruno Poizat. An introduction to forking. The journal of symbolic logic, vol. 44 , pp. 330–350.Gregory Cherlin - 1986 - Journal of Symbolic Logic 51 (1):234-235.
  13.  27
    On $aleph_0$-Categorical Nilrings. II.Gregory Cherlin - 1980 - Journal of Symbolic Logic 45 (2):291-301.
    THEOREM. The Jacobson radical of an $\aleph_0$-categorical associative ring is nilpotent.
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  14.  36
    On ℵ0-categorical nilrings. II.Gregory Cherlin - 1980 - Journal of Symbolic Logic 45 (2):291 - 301.
    THEOREM. The Jacobson radical of an ℵ 0 -categorical associative ring is nilpotent.
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  15.  25
    San Diego Convention Center, San Diego, CA January 8–9, 2008.Gregory L. Cherlin, Ilijas Farah, Pavel Hrubes, Victor Marek, Jan Riemann, Simon Thomas & Jeffrey Remmel - 2008 - Bulletin of Symbolic Logic 14 (3).
  16.  27
    Two cardinal properties of homogeneous graphs.Gregory Cherlin & Simon Thomas - 2002 - Journal of Symbolic Logic 67 (1):217-220.
    We analyze the two cardinal properties of definable sets in homogeneous graphs.
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  17.  58
    Undecidable lt theories of topological Abelian groups.Gregory L. Cherlin & Peter H. Schmitt - 1981 - Journal of Symbolic Logic 46 (4):761 - 772.
    We prove the hereditary undecidability of the L t theories of: (1) torsion-free Hausdorff topological abelian groups; (2) locally pure Hausdorff topological abelian groups.
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  18. University of Illinois at Chicago, Chicago, IL, June 1–4, 2003.Gregory Cherlin, Alan Dow, Yuri Gurevich, Leo Harrington, Ulrich Kohlenbach, Phokion Kolaitis, Leonid Levin, Michael Makkai, Ralph McKenzie & Don Pigozzi - 2004 - Bulletin of Symbolic Logic 10 (1).
     
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  19.  65
    A generation theorem for groups of finite Morley rank.Jeffrey Burdges & Gregory Cherlin - 2008 - Journal of Mathematical Logic 8 (2):163-195.
    We deal with two forms of the "uniqueness cases" in the classification of large simple K*-groups of finite Morley rank of odd type, where large means the 2-rank m2 is at least three. This substantially extends results known for even larger groups having Prüfer 2-rank at least three, so as to cover the two groups PSp 4 and G 2. With an eye towards more distant developments, we carry out this analysis for L*-groups, a context which is substantially broader than (...)
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  20.  44
    A Note On Orthogonality And Stable Embeddedness.Gregory Cherlin, Marko Djordjevic & Ehud Hrushovskj - 2005 - Journal of Symbolic Logic 70 (4):1359-1364.
    Orthogonality between two stably embedded definable sets is preserved under the addition of constants.
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  21.  73
    (1 other version)Angus Macintyre, Kenneth McKenna, and Lou van den Dries. Elimination of quantifiers in algebraic structures. Advances in mathematics, vol. 47 , pp. 74–87. - L. P. D. van den Dries. A linearly ordered ring whose theory admits elimination of quantifiers is a real closed field. Proceedings of the American Mathematical Society, vol. 79 , pp. 97–100. - Bruce I. Rose. Rings which admit elimination of quantifiers. The journal of symbolic logic, vol. 43 , pp. 92–112; Corrigendum, vol. 44 , pp. 109–110. - Chantal Berline. Rings which admit elimination of quantifiers. The journal of symbolic logic, vol. 43 , vol. 46 , pp. 56–58. - M. Boffa, A. Macintyre, and F. Point. The quantifier elimination problem for rings without nilpotent elements and for semi-simple rings. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture. [REVIEW]Gregory L. Cherlin - 1985 - Journal of Symbolic Logic 50 (4):1079-1080.
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  22.  29
    (1 other version)Andreas Baudisch, A new uncountably categorical group, Transactions of the American Mathematical Society, vol. 348 , pp. 3889–3940. [REVIEW]Gregory Cherlin - 1999 - Journal of Symbolic Logic 64 (2):905-906.
  23.  33
    (1 other version)Automorphisms of first-order structures, edited by Richard Kaye and Dugald Macpherson, Clarendon Press, Oxford University Press, Oxford and New York1994, xiv + 386 pp. [REVIEW]Gregory Cherlin - 1996 - Journal of Symbolic Logic 61 (3):1045-1048.
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  24.  14
    Anand Pillay, The geometry of forking and groups of finite Morley rank, The journal of symbolic logic, vol. 60 , pp. 1251–1259. [REVIEW]Gregory Cherlin - 1999 - Journal of Symbolic Logic 64 (2):906.
  25.  32
    (1 other version)Poizat Bruno. A course in model theory. An introduction to contemporary mathematical logic. English translation by Klein Moses of jsl lviii 1074. Universitext. Springer, new York, Berlin, heidelberg, etc., 2000, XXXI+ 443 pp. [REVIEW]Gregory Cherlin - 2001 - Bulletin of Symbolic Logic 7 (4):521-522.
  26.  15
    Review: Anand Pillay, The Geometry of Forking and Groups of Finite Morley Rank. [REVIEW]Gregory Cherlin - 1999 - Journal of Symbolic Logic 64 (2):906-906.
  27.  16
    (2 other versions)Review: Saharon Shelah, Finite Diagrams Stable in Power. [REVIEW]Gregory Cherlin - 1984 - Journal of Symbolic Logic 49 (1):315-316.
  28.  54
    S. V. Bredikhin, Yu. L. Ershov, and V. E. Kal'nei. Fields with two linear orderings. Mathematical notes of the Academy of Sciences of the USSR, vol. 7, pp. 319–325. , pp. 525–536.) - Moshe Jarden. The elementary theory of large e-fold ordered fields. Acta mathematica, vol. 149 , pp. 239–260. - Alexander Prestel. Pseudo real closed fields. Set theory and model theory, Proceedings of an informal symposium held at Bonn, June 1–3, 1979, edited by R. B. Jensen and A. Prestel, Lecture notes in mathematics, vol. 872, Springer-Verlag, Berlin, Heidelberg, and New York, 1981, pp. 127–156. - Moshe Jarden. On the model companion of the theory of e-fold ordered fields. Acta mathematica, vol. 150, pp. 243–253. - Alexander Prestel. Decidable theories of preordered fields. Mathematische Annalen, vol. 258 , pp. 481–492. - Ju. L. Eršov. Regularly r-closed fields. Soviet mathematics—Doklady, vol. 26 , pp. 363–366. , pp. 538-540.). [REVIEW]Gregory Cherlin - 1986 - Journal of Symbolic Logic 51 (1):235-237.