A primality test for submodules using Grobner basis
DOI:
https://doi.org/10.4067/S0716-09172014000100001Keywords:
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).
[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.
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