dc.contributor.author | Płoski, Arkadiusz | |
dc.contributor.editor | Krasiński, Tadeusz | |
dc.contributor.editor | Spodzieja, Stanisław | |
dc.date.accessioned | 2017-12-28T09:21:21Z | |
dc.date.available | 2017-12-28T09:21:21Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Płoski A., Formal and convergent solutions of analytic equations, [in:] Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017, p. 161-173, doi: 10.18778/8088-922-4.18 | pl_PL |
dc.identifier.isbn | 978-83-8088-922-4 | |
dc.identifier.uri | http://hdl.handle.net/11089/23779 | |
dc.description.abstract | We provide the detailed proof of a sharpened version of the
M. Artin Approximation Theorem. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Łódź University Press | pl_PL |
dc.relation.ispartof | Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017; | |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.title | Formal and convergent solutions of analytic equations | pl_PL |
dc.type | Book chapter | pl_PL |
dc.rights.holder | © Copyright by Authors, Łódź 2017; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2017 | pl_PL |
dc.page.number | 161-173 | pl_PL |
dc.contributor.authorAffiliation | Department of Mathematics and Physics, Kielce University of Technology, AL. 1000 L PP 7, 25-314 Kielce, Poland | pl_PL |
dc.identifier.eisbn | 978-83-8088-923-1 | |
dc.references | S.S. Abhyankar, Local analytic geometry, Academic Press 1964. | pl_PL |
dc.references | M. Artin, On the solutions of analytic equations, Invent. math. 5 (1968), 277-291. | pl_PL |
dc.references | M. Artin, Algebraic approximations of structures over complete local rings, Inst. Hautes Etudes Sci. Publ. Math. 36 (1969), 23-58. | pl_PL |
dc.references | N. Bourbaki, Algèbre commutative, Fasc. XXVIII, Chap. III, §4, No. 5 (1961). | pl_PL |
dc.references | T. de Jong and G. Pfister, Local Analytic Geometry, vieweg 2000. | pl_PL |
dc.references | S. Lefschetz, Algebraic Geometry, Princeton NJ, 1953. | pl_PL |
dc.references | A. Płoski, Rozwiązania formalne i zbieżne równań analitycznych, Ph D thesis, Institute of Mathematics, Polish Academy of Sciences (1973) (in Polish). | pl_PL |
dc.references | A. Płoski, Note on a theorem of M. Artin, Bull. Acad. Polonaise Sci. Ser. Math. 22 (1974), 1107-1109. | pl_PL |
dc.references | B. Teissier, Résultats récents sur l'approximation des morphismes en algèbre commutative (d'après André, Artin, Popescu et Spivakovsky). Séminaire BOURBAKI, 16 ème année (1993-94), n° 784, 259-281. | pl_PL |
dc.references | J.C. Tougeron, Idéaux de fonctions differentiables, New York: Springer 1972. | pl_PL |
dc.references | John J. Wavrik, A Theorem on Solutions of Analytic Equations with Applications to Deformations of Complex Structures, Math. Ann. 216 (1975), 127-142. | pl_PL |
dc.references | O. Zariski and P. Samuel, Commutative Algebra, vol. II, Van Nostrand, Princeton, New Jersey, 1960. | pl_PL |
dc.contributor.authorEmail | matap@tu.kielce.pl | pl_PL |
dc.identifier.doi | 10.18778/8088-922-4.18 | |