Opened 8 years ago

Last modified 4 years ago

## #13999 new defect

# Ideal membership for univariate polynomial — at Initial Version

Reported by: | hivert | Owned by: | AlexGhitza |
---|---|---|---|

Priority: | major | Milestone: | sage-6.4 |

Component: | algebra | Keywords: | Ideal, univariate polynomial |

Cc: | jakobkroeker | Merged in: | |

Authors: | Reviewers: | ||

Report Upstream: | N/A | Work issues: | |

Branch: | Commit: | ||

Dependencies: | Stopgaps: |

### Description

sage: R.<x> = PolynomialRing(ZZ) sage: p, q = 4 + 3*x + x^2, 1 + x^2 sage: I = R.ideal([p, q]) sage: S = R.quotient_ring(I) sage: S(p) == S(0) False

This is plain wrong ! {{{sage: p in I

NotImplementedError? Traceback (most recent call last)

/tmp/<ipython console> in <module>()

/home/data/Sage-Install/sage-5.6.rc1/local/lib/python2.7/site-packages/sage/rings/ideal.pyc in contains(self, x)

316 def contains(self, x): 317 try:

--> 318 return self._contains_(self.ring(x))

319 except TypeError?: 320 return False

/home/data/Sage-Install/sage-5.6.rc1/local/lib/python2.7/site-packages/sage/rings/ideal.pyc in _contains_(self, x)

322 def _contains_(self, x): 323 # check if x, which is assumed to be in the ambient ring, is actually in this ideal.

--> 324 raise NotImplementedError?

325 326 def nonzero(self):

NotImplementedError?: }}}

Florent

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