dc.contributor.author | Nowicki, Andrzej | |
dc.contributor.editor | Krasiński, Tadeusz | |
dc.contributor.editor | Spodzieja, Stanisław | |
dc.date.accessioned | 2017-12-28T09:14:10Z | |
dc.date.available | 2017-12-28T09:14:10Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Nowicki A., Divergence-free polynomial derivations, [in:] Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017, p. 123-144, doi: 10.18778/8088-922-4.16 | pl_PL |
dc.identifier.isbn | 978-83-8088-922-4 | |
dc.identifier.uri | http://hdl.handle.net/11089/23778 | |
dc.description.abstract | In this paper we present some new and old properties of divergences and divergence-free derivations. | 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 | Divergence-free polynomial derivations | 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 | 123-144 | pl_PL |
dc.contributor.authorAffiliation | Nicolaus Copernicus University, Faculty of Mathematics and Computer Science, ul. Chopina 12/18, 87-100 Toruń, Poland | pl_PL |
dc.identifier.eisbn | 978-83-8088-923-1 | |
dc.references | H. Bass, E.H. Connell and D. Wright, The jacobian conjecture: Reduction of degree and formal expansion of the inverse Bull. Amer. Math. Soc., 7 (1982), 287-330. | pl_PL |
dc.references | H. Bass and G.H. Meisters, Polynomial flows in the plane, J. Algebra, 55 (1985), 173-208. | pl_PL |
dc.references | J. Berson, A. van den Essen and S. Maubach, Derivations having divergence zero on R[x; y], Israel J. Math., 124 (2001), 115-124. | pl_PL |
dc.references | B.A. Coomes and V. Zurkowski, Linearization of polynomial flows and spectra of derivations, J. Dynamics and Diff. Equations, 3 (1991), 29-66. | pl_PL |
dc.references | E. Connell and J. Drost, Conservative and divergence free algebraic vector fields, Proc. Amer. Math. Soc., 87 (1983), 607-612. | pl_PL |
dc.references | A. van den Essen, Polynomial automorphisms and the Jacobian Conjecture, Progress in Mathematics 190, 2000. | pl_PL |
dc.references | G. Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Encyclopedia of Mathematical Sciences, Springer, 2006. | pl_PL |
dc.references | D.A. Jordan, Differentially simple rings with no invertible derivatives, Quart. J. Math. Oxford, 32 (1981), 417-424. | pl_PL |
dc.references | J.-P. Jouanolou, Equations de Pfaff algébriques, Lect. Notes in Math. 708, Springer-Verlag, Berlin, 1979. | pl_PL |
dc.references | I. Kaplansky, An Introduction to Differential Algebra, Hermann, Paris, 1976. | pl_PL |
dc.references | A. Maciejewski, J.M. Ollagnier, A. Nowicki and J.-M. Strelcyn, Around Jouanolou nonintegrability theorem, Indag. Mathem., 11(2) (2000), 239-254. | pl_PL |
dc.references | L. Makar-Limanov, Locally nilpotent derivations, a new ring invariant and applications, preprint 1998. | pl_PL |
dc.references | J. Moulin Ollagnier and A. Nowicki, Derivations of polynomial algebras without Darboux polynomials, J. Pure Appl. Algebra, 212 (2008), 1626-1631. | pl_PL |
dc.references | J. Moulin Ollagnier and A. Nowicki, Monomial derivations, Comm. Algebra, 39(9) (2011), 3138-3150. | pl_PL |
dc.references | J. Moulin Ollagnier, A. Nowicki and J.-M. Strelcyn, On the non-existence of constants of derivations: The proof of a theorem of Jouanolou and its development, Bull. Sci. Math., 119 (1995), 195-233. | pl_PL |
dc.references | P. Nousiainen and M.E. Sweedler, Automorphisms of polynomial and power series rings, J. Pure Appl. Algebra 29 (1983), 93-97. | pl_PL |
dc.references | A. Nowicki, Commutative basis of derivations in polynomial and power series rings, J. Pure Appl. Algebra, 40 (1986), 279-283. | pl_PL |
dc.references | A. Nowicki, On the jacobian equation J(f; g) = 0 for polynomials in two variables, Nagoya J. Math., 109 (1988), 151-157. | pl_PL |
dc.references | A. Nowicki, Polynomial derivations and their rings of constants, Nicolaus Copernicus University Press, Toruń, 1994. | pl_PL |
dc.references | A. Nowicki, An example of a simple derivation in two variables, Colloq. Math., 113 (2008), 25-31. | pl_PL |
dc.references | Y. Stein, On the density of image of differential operators generated by polynomials, J. Analyse Math., 52 (1989), 291-300. | pl_PL |
dc.references | S.S-S. Wang, A jacobian criterion for separability, J. Algebra 65 (1980), 453-494. | pl_PL |
dc.references | H. Żołądek, Multidimensional Jouanolou system, J. Reine Angew. Math 556 (2003), 47-78. | pl_PL |
dc.contributor.authorEmail | anow@mat.uni.torun.pl | pl_PL |
dc.identifier.doi | 10.18778/8088-922-4.16 | |