On relationships between algebraic properties of groups and rings in some model-theoretic contexts

Krzysztof Krupinski

On relationships between algebraic properties of groups and rings in some model-theoretic contexts

Logic 2010-07-06 v1

Authors: Krzysztof Krupinski

Abstract

We study relationships between certain algebraic properties of groups and rings definable in a first order structure or $*$ -closed in a compact $G$ -space. As a consequence, we obtain a few structural results about $\omega$ -categorical rings as well as about small, $nm$ -stable compact $G$ -rings, and we also obtain surprising relationships between some conjectures concerning small profinite groups.

Keywords

model theory omega-categorical rings definable groups compact G-spaces nm-stable profinite groups

Cite

@article{arxiv.1007.0532,
  title  = {On relationships between algebraic properties of groups and rings in some model-theoretic contexts},
  author = {Krzysztof Krupinski},
  journal= {arXiv preprint arXiv:1007.0532},
  year   = {2010}
}

On relationships between algebraic properties of groups and rings in some model-theoretic contexts

Abstract

Keywords

Cite

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