arXiv subjects

Jan Dobrowolski

Publications and source records attributed to Jan Dobrowolski.

22 records · Page 2Linked to original sources

arXiv2013

Locally finite profinite rings

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 cardinality over finite fields, and we prove that the Jacobson radical of any locally finite profinite ring is nil of finite nilexponent. Our results apply to the context of small compact $G$-rings, where we also obtain a description of possible actions of $G$ on the underlying ring.

math.LO↗

arXiv2012

New examples of small Polish structures

We answer some questions from a paper of Krupiński by giving suitable examples of small Polish structures. First, we present a class of small Polish group structures without generic elements. Next, we construct a first example of a small non-zero-dimensional Polish $G$-group.

math.LO↗

arXiv2012

On ω-categorical, generically stable groups and rings

We prove that every ω-categorical, generically stable group is nilpotent-by-finite and that every ω-categorical, generically stable ring is nilpotent-by-finite.

math.LO↗

arXiv2011

On ω-categorical, generically stable groups

We prove that each ω-categorical, generically stable group is solvable-by-finite.

math.LO↗