Macaulay2 / Macaulay2/M2

DegreeLift doesn't work for maps of multigraded rings

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Macaulay2
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Description

It seems like the DegreeLift option for ring maps between multigraded rings doesn't preserve homogeneity, which I presume is the main point of it.
```m2
A = QQ[x,y, Degrees => {{1,0}, {0,1}}]
B = newRing(A, Degrees => reverse degrees A)
f1 = map(A, B, gens A, DegreeMap => reverse);
isHomogeneous f1 -- true
isHomogeneous inverse f1 -- false
f2 = map(A, B, gens A, DegreeMap => reverse, DegreeLift => reverse);
isHomogeneous f2 -- true
isHomogeneous inverse f2 -- false
```

Related: #2368

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  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reproducing the provided Macaulay2 examples for DegreeLift on maps between multigraded rings, comparing f1 and f2 with their inverses. Trace the DegreeLift handling and verify the fix by confirming that the inverse of the DegreeLift map preserves homogeneity in the shown case.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Bug
Difficulty
4/5
Estimated time
3-5 days
Activity status
Quiet
Clarity
Mostly clear
Newbie friendliness
45/100

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