RT Journal Article
T1 Sobre álgebras de Nash
A1 Ruiz Sancho, Jesús María
AB We obtain some results (a Nullstellensatz, a specialization theorem, `à la E. Artin') for Nash algebras with an algebraic method based on M. Artin's theorem (and easily generalizable to the analytic case) notably simplifying known proofs
PB Universitat Autònoma de Barcelona
SN 0214-1493
YR 1980
FD 1980
LK https://hdl.handle.net/20.500.14352/64812
UL https://hdl.handle.net/20.500.14352/64812
LA spa
NO Artin: On solutions of analytic equations. Invent. Math., Berlin, t.5 (1968) p. 277-291Bochnak, J.: Sur le 17ême probleme de Hilbert pour les fonctions de Nash. Proc. A.M.S. 71, 2 (1978)Bochnak, J.; Efroymson, G.: Real algebraic geometry and the 17th Hilbert problem. Univ. of New Mexico. Dept. of Math. and Statistics (1978)Efroymson, G. : A Nullstellensatz for Nash rings. Pac. J. Math. 84 (1974), p. 101-112Lasalle, G. : Sur le théoreme des zéros différentiable. Singularités d’Applications Différentiables (1975). Lect. Notes, 535. Springer.Lazzeri, F. ; Tognoli, A. : Alcune proprietá degli spazi algebrizi. Ann. Sc. Norm. Sup. Di Pisa 24, (1970) p. 597-632Merrien, J. : Un théoreme des zéros pour les idéaux de series formelles a coefficients réels. C. R. Acad. Sc. Paris. t. 276 (1973) serie A  p. 1055-1059Mostowski, T. : Some properties of the ring of Nash functions. Ann. Sc. Norm. Sup. di Pisa III  2 (1976). P. 243-266Risler, J. J. : Le théoreme des zéros en géometries algebrique et analytique réelles. Bull. Soc. Math. France, 104 (1976), p. 113-127Robbin, J. W. : Evaluation fields for power series II. The Reelnullstellensatz. J. of Algebra, 57 (1979) p. 211-222Tougeron, J. C. : Idéaux de fonctions différentiables. Ergebnisse der Mathematik. Band 71 (1972)Tougeron, J. C. : Solutions d’un sisteme d’equations analytiques réelles et applications. Ann. Inst. Fourier, Grenoble 26, 3 (1976), p. 109-135
NO Proceedings of the seventh Spanish-Portuguese conference on mathematics, Part I (Sant Feliu de Guíxols, 1980).
DS Docta Complutense
RD 30 abr 2024