#9652: Unnecesary and buggy code in arith.py
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Reporter: mderickx | Owner: AlexGhitza
Type: defect | Status: needs_work
Priority: minor | Milestone:
Component: algebra | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by mderickx):
Is there somewhere in the math literature a definition of what a valuation
should be for "Ring of integers modulo n", cause the way it behaves right
now in sage doesn't agree with my definition of what conditions a
valuation should satisfy. If v is a valuation then in particular I would
like to have v(a*b)=v(a)+v(b). But in sage right now you get the
following:
sage: for i in R:
....: for j in R:
....: if not
valuation(i,Integer(3))+valuation(j,Integer(3))==valuation(i*j,Integer(3)):
....: print i,j
....:
3 3
3 6
6 3
6 6
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9652#comment:19>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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