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BUILT-IN MATHEMATICA SYMBOL
Modulus
Modulus->n
is an option that can be given in certain algebraic functions to specify that integers should be treated modulo n.
Details
- Modulus appears as an option in Solve, Reduce, Factor, PolynomialGCD, and PolynomialLCM, as well as in linear algebra functions such as Inverse, LinearSolve, and Det.
- 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 
. - The setting Modulus->0 specifies the full ring
of integers. - Some functions require that Modulus be set to a prime, or a power of a prime.
is a finite field when 
is prime. - Equations for Modulus can be given in Eliminate and related functions.
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