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Feature #1582

Factorization in K(a,b)[x,y]

Added by John Abbott about 3 years ago. Updated about 2 months ago.

Status:
New
Priority:
Normal
Assignee:
-
Category:
Improving
Target version:
Start date:
05 Mar 2021
Due date:
% Done:

0%

Estimated time:
Spent time:

Description

Florian would like to have factorization of polynomial over a function field e.g. QQ(a,b)[x,y].

This would also permit implementation of primary decomposition for general ideals (not just 0-dim).


Related issues

Related to CoCoALib - Feature #1580: New fn prim for polysClosed2021-02-25

History

#1 Updated by John Abbott about 3 years ago

Presumably the following approach should work:
  • map into K[a,b,x,y] after clearing denoms
  • discard any factors not involving x,y via a content computation
  • factorize in K[a,b,x,y]
  • map factors back into original ring

Looks easy! Well, not too horribly hard...

#2 Updated by John Abbott about 3 years ago

#3 Updated by John Abbott about 2 months ago

  • Target version changed from CoCoALib-0.99850 to CoCoALib-0.99900

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