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As found in #14711:comment:134, the following example shows that a combination of `register_embedding` and `register_coercion` can lead to a failure in transitivity for coercion discovery; also disc…
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**Is your feature request related to a problem? Please describe.**
There is a lot of potential for confusion in how one can specify monomial orderings in OSCAR (see e.g. a question by @gfourier in Sl…
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I just witnessed this on the latest master (commit a0913ed719ece74a890e19120670cd79dbffc3aa):
```
julia> R, (x,y,z,w) = polynomial_ring(GF(32003), ["x", "y", "z", "w"]);
julia> F = FreeMod(R, 2)
…
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```julia
using AbstractAlgebra, Groebner
R, (x,y,z) = GF(2)["x","y","z"]
groebner([x^2 + 1, x*y, y*z + 1])
3-element Vector{AbstractAlgebra.Generic.MPoly{AbstractAlgebra.GFElem{Int64}}}:
y*z…
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Edit: @thofma: There is something strange going on for the ideal generator things, since Oscar silently changes the orderings of `IdealGen` objects:
```julia
julia> R, (x, y) = polynomial_ring(QQ,…
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### Steps To Reproduce
In Sage 10.2 and 10.2.rc4, reduction of elements of exterior algebra modulo an ideal does not give a reduced form.
```
sage: N = 4
sage: E = ExteriorAlgebra(QQ,binomial(N,…
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Hello,
I am using msolve to compute Groebner bases.
For parsing the output basis, it can be useful for me if the formats of the output over a finite field and over the rationals would be similar.…
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**Describe the bug**
Using roots results in a `StackOverflowError` based on `factor`.
**To Reproduce**
```
using Oscar
R, (x,y) = polynomial_ring(QQ, 2)
f = x^2 + y^2 - x*y - x - y - 1
g = 2*…
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I get (Version julia-1.9.0-win64) the exception
┌ Warning: RecoverableException caught. Restarting with safe parameters..
└ @ Groebner xxx\.julia\packages\Groebner\to18i\src\interface.jl:100
,…
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I am trying to write an extension for [Catalyst](https://github.com/SciML/Catalyst.jl)/StructuralIdentifiability that would allow user to input by Catalyst defined `ReactionSystem`s to `assess_identif…