#8967: Make extensions of general rings work in the same way as they do for
number
fields
------------------------+---------------------------------------------------
Reporter: fwclarke | Owner: AlexGhitza
Type: defect | Status: new
Priority: major | Milestone:
Component: algebra | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
------------------------+---------------------------------------------------
{{{
sage: P.<t> = GF(5)[]
sage: GF(5).extension(t^2 - 2, name='a')
Univariate Quotient Polynomial Ring in a over Finite Field of size 5 with
modulus a^2 + 3
sage: F.<a> = GF(5).extension(t^2 - 2)
Traceback (most recent call last)
...
ValueError: variable names must be alphanumeric, but one is '('a' which is
not.
}}}
and
{{{
sage: GF(5).extension(x^2 - 2, name='a')
Traceback (most recent call last)
...
AttributeError: 'sage.symbolic.expression.Expression' object has no
attribute 'list'
}}}
The patch solves both these problems, and provides a more useful error
message for mistakes like `GF(5).extension("not_a_poly", name='a'),` by
splicing in code from the number field version.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8967>
Sage <http://www.sagemath.org>
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