19 citations · 31 across the 6 of their papers we have counts for
6 papers
Locally compact models for approximate rings
Krzysztof Krupiński
By an approximate subring of a ring we mean an additively symmetric subset such that is covered by finitely many additive translates of . We prove tha…
Generating ideals by additive subgroups of rings
Krzysztof Krupiński, Tomasz Rzepecki
We obtain several fundamental results on finite index ideals and additive subgroups of rings as well as on model-theoretic connected components of rings, which concern generating i…
Galois groups as quotients of Polish groups
Krzysztof Krupiński, Tomasz Rzepecki
We present the (Lascar) Galois group of any countable theory as a quotient of a compact Polish group by an normal subgroup: in general, as a topological group, and under NIP,…
Topological dynamics and the complexity of strong types
Krzysztof Krupiński, Anand Pillay, Tomasz Rzepecki
We develop topological dynamics for the group of automorphisms of a monster model of any given theory. In particular, we find strong relationships between objects from topological…
Locally finite profinite rings
Jan Dobrowolski, Krzysztof Krupiński
We investigate the structure of locally finite profinite rings. We classify (Jacobson-) semisimple locally finite profinite rings as products of complete matrix rings of bounded ca…
Around Podewski's conjecture
Krzysztof Krupiński, Predrag Tanović, Frank O. Wagner
A long-standing conjecture of Podewski states that every minimal field is algebraically closed. It was proved by Wagner for fields of positive characteristic, but it remains wide o…