isWellDefined isn't working with Weyl algebras
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Description
Consider the following:
i1 : needsPackage "Dmodules";
i2 : W = makeWeylAlgebra(QQ[y,z]);
i3 : W' = makeWeylAlgebra(QQ[x,y,z]);
i4 : phi = map(W', W, {y, z, y*dx, z*dx});
o4 : RingMap W' <--- W
i5 : isWellDefined phi
o5 = true
i6 : use W;
i7 : phi(dy) * phi(y) - phi(y)*phi(dy)
o7 = 0
o7 : W'
Evidently, M2 thinks phi is well defined. However, according to o7, it is not.
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Research direction
Reproduce the example after loading Dmodules, using makeWeylAlgebra and isWellDefined on the shown map. Start by tracing how isWellDefined validates maps between Weyl algebras; done means the displayed invalid map is rejected or correctly identified as not well defined.
Written by the indexing model from the issue text.
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- Issue type
- Bug
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