On minimal ordered structures
نویسندگان
چکیده
منابع مشابه
On Minimal Ordered Structures
We partially describe minimal, first-order structures which have a strong form of the strict order property. An infinite first-order structure is minimal if its each definable (possibly with parameters) subset is either finite or co-finite. It is strongly minimal if the minimality is preserved in elementarily equivalent structures. While strongly minimal structures were investigated more closel...
متن کاملOn ordered minimal structures
Recall that a structure M is minimal if every definable (with parameters) subset of M is either finite or cofinite. The study of minimal partially ordered structures was initiated by Tanović in [4, 5]. The results from [4, 5] were essential in the proof by Tanović of the Pillay’s conjecture [1], which states that every countable structure in a countable language has infinitely many nonisomorphi...
متن کاملOn dp-minimal ordered structures
We show basic facts about dp-minimal ordered structures. The main results are: dp-minimal groups are abelian-by-finite-exponent, in a divisible ordered dp-minimal group, any infinite set has non-empty interior, and any theory of pure tree is dp-minimal.
متن کاملConference on Ordered Algebraic Structures
For n a positive integer, Ln is the variety of `-groups satisfying the equation [x, y] = e. Many of the well known but striking features of the Ln varieties carry over to varieties satisfying the laws [x, y, z] = e and [x, y, y] = e, such as the structure of finitely generated subdirectly irreducible `-groups and the respective intersections with the representable variety. Some interesting exam...
متن کاملMinimal Ordered Ramsey Graphs
An ordered graph is a graph equipped with a linear ordering of its vertex set. A pair of ordered graphs is Ramsey finite if it has only finitely many minimal ordered Ramsey graphs and Ramsey infinite otherwise. Here an ordered graph F is an ordered Ramsey graph of a pair (H,H ′) of ordered graphs if for any coloring of the edges of F in colors red and blue there is either a copy of H with all e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publications de l'Institut Mathematique
سال: 2005
ISSN: 0350-1302,1820-7405
DOI: 10.2298/pim0578065t