| Title:
|
Polynomial orbits in finite commutative rings (English) |
| Author:
|
Konečná, Petra |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
711-719 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $R$ be a finite commutative ring with unity. We determine the set of all possible cycle lengths in the ring of polynomials with rational integral coefficients. (English) |
| Keyword:
|
polynomial cycles |
| Keyword:
|
finite rings |
| MSC:
|
11C08 |
| MSC:
|
13M05 |
| MSC:
|
13M10 |
| idZBL:
|
Zbl 1164.11314 |
| idMR:
|
MR2291769 |
| . |
| Date available:
|
2009-09-24T11:37:21Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128099 |
| . |
| Reference:
|
[1] P. J. Davis: Circulant Matrices.J. Wiley and Sons, NewYork-Chichester-Brisbane-Toronto, 1979. Zbl 0418.15017, MR 0543191 |
| Reference:
|
[2] B. R. McDonald: Finite Rings with Identity.M. Dekker, New York, 1974. Zbl 0294.16012, MR 0354768 |
| Reference:
|
[3] V. Dubovský: Polynomial cycles.Master Thesis, Department of Mathematics, Faculty of Science, University of Ostrava, 2003. (Czech) |
| Reference:
|
[4] F. Halter-Koch and P. Konečná: Polynomial cycles in finite extension fields.Mathematica Slovaca 52 (2002), 531–535. MR 1963443 |
| Reference:
|
[5] P. Konečná: Polynomial orbits in direct sum of finite extension fields.Studia Universitatis “Babes-Bolyai” Mathematica, Vol. XLVIII, June 2003, pp. 73–77. MR 2110317 |
| Reference:
|
[6] W. Narkiewicz: Polynomial Mappings. Lecture Notes in Mathematics Vol. 1600.Springer-Verlag, Berlin, 1995. MR 1367962 |
| . |
