Some properties of the ring of Nash functions

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1. [1] P.J. Cohen, Decision procedures for real and p-adic fields, Comm. on Pure and Appl. Math., 22 (1969), pp. 131-151. Zbl0167.01502MR244025
2. [2] G.A. Efroymson, A Nullstellensatz for Nash Rings, Pacific J. of Math., 54 (1974), pp. 101-112. Zbl0321.14001MR360576
3. [3] J.H. Hubbard, On the cohomology of Nash sheaves, Topology, 11 (1972), pp. 265-270. Zbl0238.55010MR295380
4. [4] K. Lônsted, An algebraization of vector bundles on compact manifolds, J. Pure and Appl. Algebra, 2 (1972), pp. 193-207. Zbl0236.55016MR337964
5. [5] S. Lojasifwicz, Ensembles semi-anatytiques, IHES, 1965. 
6. [6] J.-J. Risler, Une caractérisation des ideaux des variétés algébriques réelles, C. R. Sci. Paris, 271 (1970), pp. 1171-1173. Zbl0211.53401MR274437
7. [7] J.-J. Risler, Sur l'anneau des fonctions de Nash globales, C. R. Sci. Paris, 276 (1973), pp. 1513-1516. Zbl0256.13014MR318510
8. [8] A. Robinson, Introduction to Model Theory and to the Methamathematics of Algebra, North Holland Publishing Company, Amsterdam, 1963. Zbl0118.25302MR153570
9. [9] P. Samuel, Anneaux factoriels, Sociedade de Matematica deSao Paulo, 1963. Zbl0123.03303MR156867
10. [10] A. Tarski - J.C.C. McKinsey, A decision method for elementary algebra and geometry, 2nd edition, Berkeley and Los Angeles, 1948-1951. Zbl0035.00602
11. [11] H. Whitney, Elementary structure of real algebraic varieties, Ann. of Math., 66 (1957), pp. 545-556. Zbl0078.13403MR95844

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