On the unique factorization property of the ring of Nash functions

DOI10.2977/prims/1195185261zbMath0503.58001OpenAlexW2041385424MaRDI QIDQ1173314

Masahiro Shiota

Publication date: 1981

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195185261

zbMATH Keywords

Nash manifoldring of Nash functions on a Nash manifold

Mathematics Subject Classification ID

Real-analytic and Nash manifolds (58A07) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (4)

Real algebraic geometry and the 17th Hilbert problem ⋮ Equivalence of differentiable functions, rational functions and polynomials ⋮ Classification of Nash manifolds ⋮ Unnamed Item

Cites Work

• A Nullstellensatz for Nash rings
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Quelques propriétés globales des variétés différentiables
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