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Finding Roots of Polynomials over Polynomial Quotient Rings

• To: mathgroup at smc.vnet.net
• Subject: [mg93457] Finding Roots of Polynomials over Polynomial Quotient Rings
• From: Julian <julianhaw at gmail.com>
• Date: Sun, 9 Nov 2008 05:25:15 -0500 (EST)

Hi all,

Just wondering how I would go about finding roots of an polynomial,
say t^2 +2, over a quotient ring, say Z/5Z[x] / <x^2+2>, in
Mathematica?  The modulus option in Reduce is only for integers, and
I've had trouble finding anything relevant in the finite fields
package... anyone know if this can be done in Mathematica?

Thanks,
Julian

• Follow-Ups:
  • Re: Finding Roots of Polynomials over Polynomial Quotient Rings
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>