Polynomial orbits in finite commutative rings
Czechoslovak Mathematical Journal (2006)
- Volume: 56, Issue: 2, page 711-719
- ISSN: 0011-4642
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topKonečná, Petra. "Polynomial orbits in finite commutative rings." Czechoslovak Mathematical Journal 56.2 (2006): 711-719. <http://eudml.org/doc/31061>.
@article{Konečná2006,
abstract = {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.},
author = {Konečná, Petra},
journal = {Czechoslovak Mathematical Journal},
keywords = {polynomial cycles; finite rings; polynomial cycles; finite rings},
language = {eng},
number = {2},
pages = {711-719},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Polynomial orbits in finite commutative rings},
url = {http://eudml.org/doc/31061},
volume = {56},
year = {2006},
}
TY - JOUR
AU - Konečná, Petra
TI - Polynomial orbits in finite commutative rings
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 711
EP - 719
AB - 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.
LA - eng
KW - polynomial cycles; finite rings; polynomial cycles; finite rings
UR - http://eudml.org/doc/31061
ER -
References
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- Polynomial cycles, Master Thesis, Department of Mathematics, Faculty of Science, University of Ostrava, 2003. (Czech) (2003)
- Polynomial cycles in finite extension fields, Mathematica Slovaca 52 (2002), 531–535. (2002) MR1963443
- Polynomial orbits in direct sum of finite extension fields, Studia Universitatis “Babes-Bolyai” Mathematica, Vol. XLVIII, June 2003, pp. 73–77. MR2110317
- Polynomial Mappings. Lecture Notes in Mathematics Vol. 1600, Springer-Verlag, Berlin, 1995. (1995) MR1367962
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