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CAS, Commutative Rings, Fraction Fields, Quotient Rings, Polynomial Rings, Galois Fields

License: MIT License

Julia 100.00%
algebra cas commutative-rings galois-field julia multivariate-polynomials polynomial-rings powerseries quotient-rings

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commutativerings.jl's Issues

Bug in factorization of non-monic univ polynomial

The following test case is broken:

    P = ZZ{BigInt}[:x]
    x = monom(P)
    p = 2x^3 + 7x^2 + x + 1
    @test factor(p)[1][1] == p
    @test factor(p, 30)[1][1] == p(x^30)
    @test_broken factor(p, 40)[1][1] == p(x^40)

Needs investigation (error in algorithm or in implementation?)

`oneunit(ZZmod{5, Int8}) \ y::Bool` not defined

In a nanosoldier run for JuliaLang/julia#43972, I came across this issue: https://s3.amazonaws.com/julialang-reports/nanosoldier/pkgeval/by_hash/a95ca94_vs_811e534/CommutativeRings.primary.log. That PR tries to make triangular matrices be able to handle unitful eltypes. When solving unittriangular systems, I need to divide by the oneunit of the matrix's eltype, which is where this packages failed in the nanosoldier run. What do you think would be a good solution here. I'm surprised that the zzmod numbers are not subtypes of Number, since then promotion should work out of the box. Instead, it tries to compute oneunit(ZZmod{5, Int8}) \ y::Bool via y / adjoint(oneunit(ZZmod{5, Int8})). One solution could then be to define

Base.adjoint(a::ZZmod) = a

?

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Documentation

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