Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals, II

被引：6

作者：

Pezda, T ^{[1
]}

机构：

[1] Univ Wroclaw, Dept Math, PL-50384 Wroclaw, Poland

来源：

MONATSHEFTE FUR MATHEMATIK | 2005年 / 145卷 / 04期

关键词：

periodic points; polynomial mapping; algebraic integers; discrete valuation domain;

D O I：

10.1007/s00605-004-0290-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove (Theorem 1.1) an asymptotic for maximal cycle lengths of polynomial mappings in several variables over rings of integers in algebraic number fields. In addition (Proposition 3.1), we strengthen the shape of possible lengths of polynomial cycles over discrete valuation domains.

引用

页码：321 / 331

页数：11

共 50 条

[1] Cycles of Polynomial Mappings in Several Variables over Rings of Integers in Finite Extensions of the Rationals, II
T. Pezda
Monatshefte für Mathematik, 2005, 145 : 321 - 331
[2] Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals
Pezda, T
ACTA ARITHMETICA, 2003, 108 (02) : 127 - 146
[3] Cycles of polynomial mappings in two variables over rings of integers in quadratic fields
Pezda, T.
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2004, 2 (02): : 294 - 331
[4] Cycles of Polynomial Mappings in Several Variables over Discrete Valuation Rings and over Z
Pezda, T.
MICHIGAN MATHEMATICAL JOURNAL, 2015, 64 (01) : 109 - 142
[5] CYCLES OF POLYNOMIAL-MAPPINGS IN SEVERAL VARIABLES
PEZDA, T
MANUSCRIPTA MATHEMATICA, 1994, 83 (3-4) : 279 - 289
[6] Differential polynomial rings in several variables over locally nilpotent rings
Chen, Fei Yu
Hagan, Hannah
Wang, Allison
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2020, 30 (01) : 117 - 123
[7] Finite domination and Novikov rings. Laurent polynomial rings in several variables
Huettemann, Thomas
Quinn, David
JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, 220 (07) : 2648 - 2682
[8] On polynomial rings over nil rings in several variables and the central closure of prime nil rings
M. Chebotar
W.-F. Ke
P.-H. Lee
E. R. Puczyłowski
Israel Journal of Mathematics, 2018, 223 : 309 - 322
[9] On polynomial rings over nil rings in several variables and the central closure of prime nil rings
Chebotar, M.
Ke, W. -F.
Lee, P. -H.
Puczyowski, E. R.
ISRAEL JOURNAL OF MATHEMATICS, 2018, 223 (01) : 309 - 322
[10] SPECTRUM OF POLYNOMIAL-RINGS WITH SEVERAL-VARIABLES OVER AN INCREASING SEQUENCE OF RINGS
HAOUAT, Y
ARCHIV DER MATHEMATIK, 1988, 50 (03) : 236 - 240

← 1 2 3 4 5 →