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Between groups and rings

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Publication:2277538
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DOI10.1216/RMJ-1989-19-3-871zbMath0725.14044MaRDI QIDQ2277538

Anand Pillay, Philip Scowcroft, Charles I. Steinhorn

Publication date: 1989

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

elimination of quantifierssemialgebraic setssemilinear setsO-minimal structure


Mathematics Subject Classification ID

Real algebraic sets (14P05) Semialgebraic sets and related spaces (14P10) Quantifier elimination, model completeness, and related topics (03C10)


Related Items (14)

Integration of positive constructible functions against Euler characteristic and dimension ⋮ Semilinear cell decomposition ⋮ Additive reducts of real closed fields ⋮ Cell decomposition for semibounded \(p\)-adic sets ⋮ Structure theorems for o-minimal expansions of groups ⋮ Coverings by open cells ⋮ How to avoid a compact set ⋮ A tetrachotomy for expansions of the real ordered additive group ⋮ Fusing o-minimal structures ⋮ Linear o-minimal structures ⋮ Returning to semi-bounded sets ⋮ Locally injective maps in o-minimal structures without poles are surjective ⋮ Non-standard lattices and o-minimal groups ⋮ A note on valuation definable expansions of fields




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