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lgoettgens merged 1 commit into from
Feb 27, 2026
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Change mpolynomial documentation #2363

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24 changes: 2 additions & 22 deletions docs/src/mpolynomial.md
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Expand Up @@ -4,29 +4,9 @@ CollapsedDocStrings = true
DocTestSetup = AbstractAlgebra.doctestsetup()
```

# Sparse distributed multivariate polynomials
# Multivariate polynomials

AbstractAlgebra.jl provides a module, implemented in `src/MPoly.jl` for
sparse distributed multivariate polynomials over any commutative ring belonging to the
AbstractAlgebra abstract type hierarchy.

## Generic sparse distributed multivariable polynomial types

AbstractAlgebra provides a generic multivariate polynomial type `Generic.MPoly{T}`
where `T` is the type of elements of the coefficient ring.

The polynomials are implemented using a Julia array of coefficients and a 2-dimensional
Julia array of `UInt`s for the exponent vectors. Note that exponent $n$ is represented
by the $n$-th column of the exponent array, not the $n$-th row. This is because Julia
uses a column major representation. See the file `src/generic/GenericTypes.jl` for
details.

The top bit of each `UInt` is reserved for overflow detection.

Parent objects of such polynomials have type `Generic.MPolyRing{T}`.

The string representation of the variables of the polynomial ring and the
base/coefficient ring $R$ and the ordering are stored in the parent object.
AbstractAlgebra.jl provides sparse distributed multivariate polynomials over any commutative ring belonging to the AbstractAlgebra abstract type hierarchy. This is the implementation that should be used for most applications of multivariate polynomials.

## Abstract types

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