9 citations · 9 across the 3 of their papers we have counts for
4 papers
The space of minimal structures
Oleg Belegradek
For a signature L with at least one constant symbol, an L-structure is called minimal if it has no proper substructures. Let S_L be the set of isomorphism types of minimal L-struct…
Theory of square-like abelian groups is decidable
Oleg Belegradek
A group is called square-like if it is universally equivalent to its direct square. It is known that the class of all square-like groups admits an explicit first order axiomatizati…
Endomorphisms of relatively hyperbolic groups
Igor Belegradek, Andrzej Szczepanski, Oleg V. Belegradek
We generalize some results of Paulin and Rips-Sela on endomorphisms of hyperbolic groups to relatively hyperbolic groups, and in particular prove the following. (1) If G is a finit…
Quasi-o-minimal groups
Oleg Belegradek, Ya'acov Peterzil, Frank Wagner
The authors investigate the structure of quasi-o-minimal groups. Among other results, they show that quasi-o-minimal groups are abelian, that quasi-o-minimal densely ordered archim…