Finitely generated subrings of R[x]

Nowicki, Andrzej

dc.contributor.author	Nowicki, Andrzej
dc.contributor.editor	Krasiński, Tadeusz
dc.contributor.editor	Spodzieja, Stanisław
dc.date.accessioned	2020-01-28T12:11:30Z
dc.date.available	2020-01-28T12:11:30Z
dc.date.issued	2019
dc.identifier.citation	Nowicki A., Finitely generated subrings of R[x], in: Analytic and Algebraic Geometry 3, T. Krasiński, S. Spodzieja (red.), WUŁ, Łódź 2019, doi: 10.18778/8142-814-9.13.	pl_PL
dc.identifier.isbn	978-83-8142-814-9
dc.identifier.uri	http://hdl.handle.net/11089/31344
dc.description.abstract	In this article all rings and algebras are commutative with identity, and we denote by R[x] the ring of polynomials over a ring R in one variable x. We describe rings R such that all subalgebras of R[x] are finitely generated over R.	pl_PL
dc.language.iso	en	pl_PL
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	pl_PL
dc.relation.ispartof	Analytic and Algebraic Geometry 3;
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.title	Finitely generated subrings of R[x]	pl_PL
dc.type	Book chapter	pl_PL
dc.page.number	179-189	pl_PL
dc.contributor.authorAffiliation	Nicolaus Copernicus University, Faculty of Mathematics and Computer Sciences	pl_PL
dc.identifier.eisbn	978-83-8142-815-6
dc.references	E. Artin, J. T. Tate, A note of nite ring extensions, J. Math. Soc. Japan, 3(1951) 74-77.	pl_PL
dc.references	M. F. Atiyah, I. G. Macdonald, Introduction to Commutative Algebra, Addison - Wesley Publishing Company, 1969.	pl_PL
dc.references	S. Balcerzyk, T. Józe fiak, Commutative Noetherian and Krull Rings, Horwood-PWN, Warszawa 1989.	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, Encyclopaedia of Math- ematical Sciences 136, Springer, Berlin, 2006.	pl_PL
dc.references	M. Karaś, Elementary proof of nitely generateness of a subring of K[t], Materials of the XXI Conference of Complex Analytic and Algebraic Geometry, Publisher University of Lodz, Lodz (2000), 79-86.	pl_PL
dc.references	S. Kuroda, The in niteness of the SAGBI bases for certain invariant rings, Osaka J. Math. 39(2002), 665-680.	pl_PL
dc.references	M. Nagata, Lectures on the Fourteenth Problem of Hilbert, Lecture Notes 31, Tata Institute, Bombay, 1965.	pl_PL
dc.references	M. Nagata, On the fourteenth problem of Hilbert, Proc. Intern. Congress Math., 1958, 459- 462, Cambridge Univ. Press, New York, 1966.	pl_PL
dc.references	A. Nowicki, Polynomial derivations and their rings of constants, Nicolaus Copernicus Uni- versity, Toru n 1994.	pl_PL
dc.references	A. Nowicki, The example of Roberts to the fourteenth problem of Hilbert (in polish), Materials of the XIX Conference of Complex Analytic and Algebraic Geometry, Publisher University of Lodz, Lodz (1998), 19-44.	pl_PL
dc.references	A. Nowicki, The example of Freudenburg to the fourteenth problem of Hilbert (in polish), Materials of the XX Conference of Complex Analytic and Algebraic Geometry, Publisher University of Lodz, Lodz (1999), 7-20.	pl_PL
dc.references	A. Nowicki, The fourteenth problem of Hilbert for polynomial derivations, Di erential Galois Theory, Banach Center Publications 58 (2002), 177-188.	pl_PL
dc.references	T. A. Springer, Invariant Theory, Lecture Notes 585, 1977.	pl_PL
dc.references	O. Zariski, Interpr etations alg ebraico-g eometriques du quatorzi eme probl eme de Hilbert, Bull. Sci. Math., 78 (1954), 155-168.	pl_PL
dc.contributor.authorEmail	anow@mat.uni.torun.pl	pl_PL
dc.identifier.doi	10.18778/8142-814-9.13