DMP in strongly minimal sets

DMP in strongly minimal sets

We construct a strongly minimal set which is not a finite cover of one with DMP. We also prove that for a strongly minimal theory T generic automorphisms exist iff T has DMP, thus proving a conjecture of Kikyo and

Strongly Minimal Sets and Geometry

Order 1 strongly minimal sets in differentially closed fields

We give a classification of non-orthogonality classes of trivial order 1 strongly minimal sets in differentially closed fields. A central idea is the introduction of τ -forms, functions on the prolongation of a variety which are analogous to 1-forms. Order 1 strongly minimal sets then correspond to smooth projective curves with τ -forms. We also introduce τ -differentials, algebraic versions of...

counterexamples in a−minimal sets

several tables have been given due to a − minimal sets. our main aim in this paper is tocomplete these tables by employing several examples.

Zero sets in pointfree topology and strongly $z$-ideals

In this paper a particular case of z-ideals, called strongly z-ideal, is defined by introducing zero sets in pointfree topology. We study strongly z-ideals, their relation with z-ideals and the role of spatiality in this relation. For strongly z-ideals, we analyze prime ideals using the concept of zero sets. Moreover, it is proven that the intersection of all zero sets of a prime ideal of C(L),...