Geodesic
On Factorization of Polynomials Modulo n
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 521-523

Voir la notice de l'article provenant de la source Cambridge University Press

Let A be an ideal of the commutative ring R with identity. There is a canonical homomorphism φ A from the polynomial ring R[X] onto (R/A)[X], obtained by reducing all coefficients modulo A. If f R[X], then we say that f is reducible (irreducible) modulo A if φ A (f) is reducible (irreducible) in (R/A)[X]. 
Gilmer, Robert. On Factorization of Polynomials Modulo n. Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 521-523. doi: 10.4153/CMB-1973-085-5
@article{10_4153_CMB_1973_085_5,
     author = {Gilmer, Robert},
     title = {On {Factorization} of {Polynomials} {Modulo} n},
     journal = {Canadian mathematical bulletin},
     pages = {521--523},
     year = {1973},
     volume = {16},
     number = {4},
     doi = {10.4153/CMB-1973-085-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-085-5/}
}
TY  - JOUR
AU  - Gilmer, Robert
TI  - On Factorization of Polynomials Modulo n
JO  - Canadian mathematical bulletin
PY  - 1973
SP  - 521
EP  - 523
VL  - 16
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-085-5/
DO  - 10.4153/CMB-1973-085-5
ID  - 10_4153_CMB_1973_085_5
ER  - 
%0 Journal Article
%A Gilmer, Robert
%T On Factorization of Polynomials Modulo n
%J Canadian mathematical bulletin
%D 1973
%P 521-523
%V 16
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-085-5/
%R 10.4153/CMB-1973-085-5
%F 10_4153_CMB_1973_085_5

[1] 1. Guerrier, W. J., The factorization of the cyclotomic polynomials modp, Amer. Math. Monthly 75 (1968), p. 46. Google Scholar

[2] 2. Jacobson, N., Lectures in abstract algebra, Vol. 3, Van Nostrand, Princeton, N.J., 1964. Google Scholar

[3] 3. Redei, L., Algebra, Vol. 1, Pergamon Press, New York, 1967. Google Scholar

[4] 4. Ribenboim, P., Théorie des valuations, Univ. of Montreal Press, Montreal, 1964. Google Scholar

[5] 5. Snapper, E., Completely primary rings, Ann. of Math. (2) 52 (1950), 666–693. Google Scholar

[6] 6. Shanks, D., Solved and unsolved problems in number theory, Spartan Books, Washington, D.C., 1962. Google Scholar

[7] 7. van der Waerden, B. L., Algebra, Vol. 2, Ungar, New York, 1970. Google Scholar

Cité par Sources :