#5756: improve coverage of rings/morphism.pyx
-------------------------+--------------------------------------------------
 Reporter:  was          |       Owner:  mabshoff  
     Type:  enhancement  |      Status:  new       
 Priority:  major        |   Milestone:  sage-3.4.1
Component:  doctest      |    Keywords:            
-------------------------+--------------------------------------------------

Old description:

> BUGS FOUND:
>
> 1. bug in __cmp__
> {{{
> 10:56 < wstein-5756> Wow, I was reading the __cmp__ for ring lifting
> maps.
> 10:56 < wstein-5756> Check out this bug:
> 10:56 < wstein-5756> Zmod(8).lift() == Zmod(10).lift()
> 10:56 < wstein-5756> True
> 10:56 < wstein-5756> Any two lifting maps are always equal.
> 10:56 < wstein-5756> Ouch.
> }}}
>
> 2. Another bug related to __cmp__:   #5758 (weird "hello")

New description:

 Fix the coverage of morphism.pyx, which is bad.

--

Comment(by was):

 BUGS FOUND:

 1. bug in __cmp__
 {{{
 10:56 < wstein-5756> Wow, I was reading the __cmp__ for ring lifting maps.
 10:56 < wstein-5756> Check out this bug:
 10:56 < wstein-5756> Zmod(8).lift() == Zmod(10).lift()
 10:56 < wstein-5756> True
 10:56 < wstein-5756> Any two lifting maps are always equal.
 10:56 < wstein-5756> Ouch.
 }}}

 2. Another bug related to __cmp__:   #5758 (weird "hello")

 3. __nonzero__ is wrong for ring morphisms, since Sage does have the 0
 ring where 0 == 1, so this code was wrong:
 {{{
     def __nonzero__(self):
         return True
 }}}

 4. Calling .lift() on a morphism returns None.  This is a bug that was
 caused by cythonizing morphism.pyx:
 {{{
 sage: R.<x,y> = QQ[]; R.hom([x,x]).lift() is None
 True
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5756#comment:2>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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