A primality test for submodules using Grobner basis

Authors

  • Sandra Barragán Moreno Universidad de Bogotá Jorge Tadeo Lozano.

DOI:

https://doi.org/10.4067/S0716-09172014000100001

Keywords:

Grobner Basis, prime submodule, primality test, modules, base de Grobner, submódulo primo, test de primalidad, módulos.

Abstract

In this paper, an algorithm is presented to check if a submodule of thefreemodule R [X]s is prime, using Grobner Basis.

References

[1] Adams, W., & Loustaunau, P. An Introduction to Gröbner Bases. Providence, Rhode Island, United States of America: American Mathematical Society, (1994).

[2] Barragán, S. La Condición de Noether para el espectro primo de un módulo sobre un anillo conmutativo. Universidad Nacional de Colombia. Tesis de Maestría, (2001).

[3] Gianni, P., Trager, B., & Zacharias, G. Gröbner Bases and Primary Decomposition of Polinomial Ideals. Journal of Symbolic Computation, pp. 149-167, (1988).

[4] Lu, C. P. Prime Submodules of Modules. Commentarii Mathematici Universitastis Sancti Pauli, pp. 61-69, (1984).

[5] McCasland, R., Moore, M., & Smith, P. On the spectrum of a module over commutative ring. Communications in Algebra, pp. 79-103, (1997).

[6] Rutman, E. Gröbner Bases and Primary Decomposition of Modules. Journal of Symbolic Computation, pp. 483-503, (1992).

Published

2017-03-23

How to Cite

[1]
S. Barragán Moreno, “A primality test for submodules using Grobner basis”, Proyecciones (Antofagasta, On line), vol. 33, no. 1, pp. 1-12, Mar. 2017.

Issue

Section

Artículos