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GroebnerBasisGaussianIntegers

Modulus

FilledSmallSquareModulus->n is an option that can be given in certain algebraic functions to specify that integers should be treated modulo n.

FilledSmallSquare Equations for Modulus can be given in Solve and related functions.

FilledSmallSquareModulus appears as an option in Factor, PolynomialGCD and PolynomialLCM, as well as in linear algebra functions such as Inverse, LinearSolve and Det.

FilledSmallSquare Arithmetic is usually done over the full ring of integers; setting the option Modulus specifies that arithmetic should instead be done in the finite ring .

FilledSmallSquare The setting Modulus -> 0 specifies the full ring of integers.

FilledSmallSquare Some functions require that Modulus be set to a prime, or a power of a prime. is a finite field when is prime.

FilledSmallSquare See The Mathematica Book: Section 3.3.5 and Section 3.4.11.

FilledSmallSquare See also: Extension.

Further Examples

GroebnerBasisGaussianIntegers