A REDUCTION TO THE COMPACT CASE FOR GROUPS DEFINABLE IN O-MINIMAL STRUCTURES
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Publication:5891806
DOI10.1017/jsl.2013.4zbMath1337.03051OpenAlexW2802465005MaRDI QIDQ5891806
Carlo Toffalori, Gena Puninski
Publication date: 30 September 2014
Published in: The Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/jsl.2013.4
Model-theoretic algebra (03C60) Valuation rings (13F30) Applications of logic to commutative algebra (13L05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items (5)
THE ZIEGLER SPECTRUM OF THE RING OF ENTIRE COMPLEX VALUED FUNCTIONS ⋮ DECIDABILITY OF THE THEORY OF MODULES OVER PRÜFER DOMAINS WITH INFINITE RESIDUE FIELDS ⋮ The Ziegler spectrum of the $D$-infinity plane singularity ⋮ Decidability and modules over Bézout domains ⋮ Decidability of the theory of modules over Prüfer domains with dense value groups
Cites Work
- On central extensions and definably compact groups in o-minimal structures
- On NIP and invariant measures
- A descending chain condition for groups definable in o-minimal structures
- Higher homotopy of groups definable in o-minimal structures
- On groups and fields definable in o-minimal structures
- Solvable groups definable in o-minimal structures.
- Splitting definably compact groups in o-minimal structures
- Cohomology of groups in o-minimal structures: acyclicity of the infinitesimal subgroup
- Definable Compactness and Definable Subgroups of o-Minimal Groups
- Definably simple groups in o-minimal structures
- Simple algebraic and semialgebraic groups over real closed fields
- TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY
- DEFINABLY COMPACT ABELIAN GROUPS
- The universal covering homomorphism in o‐minimal expansions of groups
- Lie groups beyond an introduction
- Linear groups definable in o-minimal structures
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