Ample dividing
نویسنده
چکیده
We construct a stable one-based, trivial theory with a reduct which is not trivial. This answers a question of John B. Goode. Using this, we construct a stable theory which is n-ample for all natural numbers n, and does not interpret an infinite group.
منابع مشابه
Determinant Bundles for Abelian Schemes
To a symmetric, relatively ample line bundle on an abelian scheme one can associate a linear combination of the determinant bundle and the relative canonical bundle, which is a torsion element in the Picard group of the base. We improve the bound on the order of this element found by Faltings and Chai. In particular, we obtain an optimal bound when the degree of the line bundle d is odd and the...
متن کاملEnhancing Social Interaction in Residential Complexes Case Study: Esfahan
Considering vicinity as a mere prerequisite but not an ample cause needed for creation of a relationship, the paper investigates the interfering factors playing a significant role in social life of residential complexes habitats.Data for survey were collected through dividing the residential complexes in two groups of homogeneous and heterogeneous. In this way, we selected four residential comp...
متن کاملAmple fields as a basis for possibilistic processes
Ample fields play an important role in possibility theory. These fields of subsets of a universe, which are additionally closed under arbitrary unions, act as the natural domains for possibility measures. A set provided with an ample field is then called an ample space. In this paper we generalise Wang’s notions of product ample field and product ample space. We make a topological study of ampl...
متن کاملRight Cancellative and Left Ample Monoids: Quasivarieties and Proper Covers
The aim of this paper is to study certain quasivarieties of left ample monoids. Left ample monoids are monoids of partial one–one mappings of sets closed under the operation α 7→ αα−1. The idempotents of a left ample monoid form a semilattice and have a strong influence on the structure of the monoid; however, a left ample monoid need not be inverse. Every left ample monoid has a maximum right ...
متن کاملAmple Hierarchy
The ample hierarchy of geometries of stables theories is strict. We generalise the construction of the free pseudospace to higher dimensions and show that the n-dimensional free pseudospace is ω-stable n-ample yet not (n+ 1)-ample. In particular, the free pseudospace is not 3-ample. A thorough study of forking is conducted and an explicit description of canonical bases is exhibited.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Symb. Log.
دوره 68 شماره
صفحات -
تاریخ انتشار 2003