#6161: Polynomial rings have no coercion map to themselves
---------------------------------+------------------------------------------
 Reporter:  SimonKing            |       Owner:  malb               
     Type:  defect               |      Status:  new                
 Priority:  blocker              |   Milestone:  sage-4.0.1         
Component:  commutative algebra  |    Keywords:  coercion polynomial
---------------------------------+------------------------------------------
 The following happens with the 'official' Sage 4.0 on sage.math and on at
 least one other x_86_64 machine (built from sources and in addition with
 the singular-3-1-0-spkg). It also occurs at least with sage 3.4.2.
 {{{
 sage: R.<x>=QQ[]
 sage: R._has_coerce_map_from(R)
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 
/home/SimonKing/.sage/temp/sage.math.washington.edu/2444/_home_SimonKing__sage_init_sage_0.py
 in <module>()

 TypeError: 'dict' object is not callable
 sage: R.<x,y>=QQ[]
 sage: R._has_coerce_map_from(R)
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 
/home/SimonKing/.sage/temp/sage.math.washington.edu/2444/_home_SimonKing__sage_init_sage_0.py
 in <module>()

 TypeError: 'dict' object is not callable
 }}}

 So, both uni- and multivariate polynomial rings do not believe that they
 have a coercion to themselves. Or: Coercion of polynomial rings is
 seriously broken.

 I really wonder why this does not break hundreds of doc tests. I hope it
 is ok to make this a blocker.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6161>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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