کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4662595 1633546 2007 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interpreting structures of finite Morley Rank in strongly minimal sets
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات منطق ریاضی
پیش نمایش صفحه اول مقاله
Interpreting structures of finite Morley Rank in strongly minimal sets
چکیده انگلیسی

We show that any structure of finite Morley Rank having the definable multiplicity property (DMP) has a rank and multiplicity preserving interpretation in a strongly minimal set. In particular, every totally categorical theory admits such an interpretation. We also show that a slightly weaker version of the DMP is necessary for a structure of finite rank to have a strongly minimal expansion. We conclude by constructing an almost strongly minimal set which does not have the DMP in any rank preserving expansion, and ask whether this structure is interpretable in a strongly minimal set.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 145, Issue 1, January 2007, Pages 96-114