#19318: Implement inverse_of_unit for IntegerModRing
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   Reporter:  bruno         |            Owner:
       Type:  enhancement   |           Status:  new
   Priority:  major         |        Milestone:  sage-6.9
  Component:  finite rings  |         Keywords:
  Merged in:                |          Authors:  Bruno Grenet
  Reviewers:                |  Report Upstream:  N/A
Work issues:                |           Branch:
     Commit:                |     Dependencies:
   Stopgaps:                |
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 This (small) patch allows one to compute the inverse of a unit in an
 `IntegerModRing`. It provides the following functionality:

 {{{#!python
 sage: R = IntegerModRing(10)
 sage: R(7).inverse_of_unit()
 3
 sage: R(4).inverse_of_unit() # 4 is not a unit in ZZ/10ZZ
 Traceback (most recent call last):
 ...
 ZeroDivisionError: Inverse does not exist.
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/19318>
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