#8072: Kernels of matrices over integral domains are broken
------------------------------+---------------------------------------------
   Reporter:  rbeezer         |       Owner:  was       
       Type:  defect          |      Status:  new       
   Priority:  minor           |   Milestone:  sage-4.3.2
  Component:  linear algebra  |    Keywords:            
     Author:                  |    Upstream:  N/A       
   Reviewer:                  |      Merged:            
Work_issues:                  |  
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 Asking for a kernel of a matrix over an integral domain has a dedicated
 chunk of code that tries to create a submodule as a return value.  Only
 there is no support for submodules over domains (just PIDs and fields).

 I'll be going after this as part of a larger overhaul of matrix kernels
 generally.

 {{{
 sage: R=ZZ['x']
 sage: R.is_integral_domain()
 True
 sage: W=R^2
 sage: W
 Ambient free module of rank 2 over the integral domain Univariate
 Polynomial Ring in x over Integer Ring
 sage: A=matrix(R,[1,2,3])
 sage: A.right_kernel()
 <snip>

 /sage/dev/local/lib/python2.6/site-packages/sage/matrix/matrix2.so in
 sage.matrix.matrix2.Matrix.right_kernel (sage/matrix/matrix2.c:13840)()

 AttributeError: 'FreeModule_ambient_domain' object has no attribute
 'submodule'
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8072>
Sage <http://www.sagemath.org>
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