Geodesic
The structure of the lattice of closed classes of polynomials
Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 24-39.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article the structure of the lattice of closed classes of polynomials modulo $k$ is investigated. More precisely, we investigate the structure of the interval of this lattice from the class of all linear polynomials with zero constant term to the class of all polynomials modulo $k$. It is proved that this interval (as partially ordered set) is the direct product of two subintervals, and its structure is completely determined when $k$ is square free. Moreover, for $k=4$ (minimal not square free $k$) the description of the interval from the class of all linear polynomials to the class of all polynomials is given. 
@article{DM_1997_9_2_a2,
     author = {A. A. Krokhin and K. L. Safin and E. V. Sukhanov},
     title = {The structure of the lattice of closed classes of polynomials},
     journal = {Diskretnaya Matematika},
     pages = {24--39},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1997_9_2_a2/}
}
TY  - JOUR
AU  - A. A. Krokhin
AU  - K. L. Safin
AU  - E. V. Sukhanov
TI  - The structure of the lattice of closed classes of polynomials
JO  - Diskretnaya Matematika
PY  - 1997
SP  - 24
EP  - 39
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_1997_9_2_a2/
LA  - ru
ID  - DM_1997_9_2_a2
ER  - 
%0 Journal Article
%A A. A. Krokhin
%A K. L. Safin
%A E. V. Sukhanov
%T The structure of the lattice of closed classes of polynomials
%J Diskretnaya Matematika
%D 1997
%P 24-39
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_1997_9_2_a2/
%G ru
%F DM_1997_9_2_a2
A. A. Krokhin; K. L. Safin; E. V. Sukhanov. The structure of the lattice of closed classes of polynomials. Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 24-39. http://geodesic.mathdoc.fr/item/DM_1997_9_2_a2/