Left-ordered inp-minimal groups
Jan Dobrowolski, John Goodrick
TL;DR
This paper proves that all left-ordered inp-minimal groups are abelian and provides an example of a non-abelian left-ordered group with dp-rank 2, exploring the structure of such groups.
Contribution
It establishes that left-ordered inp-minimal groups are necessarily abelian and presents a non-abelian example with dp-rank 2, advancing understanding of their structure.
Findings
All left-ordered inp-minimal groups are abelian
Existence of a non-abelian left-ordered group with dp-rank 2
Insight into the structure of ordered inp-minimal groups
Abstract
We prove that any left-ordered inp-minimal group is abelian, and we provide an example of a non-abelian left-ordered group of dp-rank 2.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Fuzzy and Soft Set Theory