#6044: Enhanced reduction modulo ideals of number fields
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Reporter: mtaranes | Owner: somebody
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.0
Component: number theory | Keywords: number fields, ideals
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1. Modify "residues" function so that it returns a canonical set of coset
representatives.[[BR]]
2. New "reduce" function for number field ideals that returns the
canonical reduced representative of a given integral element: I.reduce(f)
is an element of the set of representatives returned by I.residues().
[[BR]]
3. Have "inverse_mod" working for integral elements of a number field
without having to coerce to the ring of integers (using existing
functionality for order elements)[[BR]]
Patch based on 3.4.2 to follow soon.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6044>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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