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1987-01-01
A simple proof of a generalization of Eisenstein's irreducibility criterion
Parole chiave:
Königsberg's criterion, polynomials, integers, rational numbers (es)##submission.downloads##
We present a simple proof of Königsberg's Criterion, [K] p.69 and also present families of irreducible polynomials over some fields. In particular, if (n, h) = 1, ao….., an-1 ϵ Z = ring of integers and p is a primer not dividing ao, then f (x) = xn - ph(ao+a1+…+an-1Xn-1) is irredudible over the rationals. Also if k is any field, then [Formula Matemática].
Come citare
APA
Allan, N. D. (1987). A simple proof of a generalization of Eisenstein’s irreducibility criterion. Revista Colombiana de Matemáticas, 21(1), 141–146. https://revistas.unal.edu.co/index.php/recolma/article/view/33020
ACM
[1]
Allan, N.D. 1987. A simple proof of a generalization of Eisenstein’s irreducibility criterion. Revista Colombiana de Matemáticas. 21, 1 (gen. 1987), 141–146.
ACS
(1)
Allan, N. D. A simple proof of a generalization of Eisenstein’s irreducibility criterion. rev.colomb.mat 1987, 21, 141-146.
ABNT
ALLAN, N. D. A simple proof of a generalization of Eisenstein’s irreducibility criterion. Revista Colombiana de Matemáticas, [S. l.], v. 21, n. 1, p. 141–146, 1987. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33020. Acesso em: 22 gen. 2025.
Chicago
Allan, Nelo D. 1987. «A simple proof of a generalization of Eisenstein’s irreducibility criterion». Revista Colombiana De Matemáticas 21 (1):141-46. https://revistas.unal.edu.co/index.php/recolma/article/view/33020.
Harvard
Allan, N. D. (1987) «A simple proof of a generalization of Eisenstein’s irreducibility criterion», Revista Colombiana de Matemáticas, 21(1), pagg. 141–146. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33020 (Consultato: 22 gennaio 2025).
IEEE
[1]
N. D. Allan, «A simple proof of a generalization of Eisenstein’s irreducibility criterion», rev.colomb.mat, vol. 21, n. 1, pagg. 141–146, gen. 1987.
MLA
Allan, N. D. «A simple proof of a generalization of Eisenstein’s irreducibility criterion». Revista Colombiana de Matemáticas, vol. 21, n. 1, gennaio 1987, pagg. 141-6, https://revistas.unal.edu.co/index.php/recolma/article/view/33020.
Turabian
Allan, Nelo D. «A simple proof of a generalization of Eisenstein’s irreducibility criterion». Revista Colombiana de Matemáticas 21, no. 1 (gennaio 1, 1987): 141–146. Consultato gennaio 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33020.
Vancouver
1.
Allan ND. A simple proof of a generalization of Eisenstein’s irreducibility criterion. rev.colomb.mat [Internet]. 1 gennaio 1987 [citato 22 gennaio 2025];21(1):141-6. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33020
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Copyright (c) 1987 Revista Colombiana de Matemáticas
TQuesto lavoro è fornito con la licenza Creative Commons Attribuzione 4.0 Internazionale.
