id,summary,reporter,owner,description,type,status,priority,milestone,component,resolution,keywords,cc,merged,author,reviewer,upstream,work_issues,branch,commit,dependencies,stopgaps
15297,Elements from a Field of Fractions that compare equal should have equal hashes,Stefan,,"Sage can't guarantee that {{{p == q}}} implies {{{hash(p) == hash(q)}}}, but it is not unreasonable to strive to make this work in case {{{p,q}}} belong to the same ring or field.
This ticket deals with Fields of Fractions. The proposed solution from this post appears to do the trick:
https://groups.google.com/forum/#!topic/sage-devel/TOp_5LCBBR4
Example:
{{{
sage: R. = ZZ['x']
sage: F = R.fraction_field()
sage: p = 1/(1-x)
sage: q = (-1)/(x-1)
sage: p == q
True
sage: hash(p) == hash(q)
False
}}}",defect,new,major,sage-8.4,algebra,,"field of fractions, hashing",yzh mkoeppe,,,,N/A,,,,,