Opened 4 years ago

Last modified 4 years ago

## #16432 new defect

# monomial_all_divisors omit 1 as a monomial divisor

Reported by: | bouvier | Owned by: | |
---|---|---|---|

Priority: | trivial | Milestone: | sage-6.4 |

Component: | basic arithmetic | Keywords: | |

Cc: | Merged in: | ||

Authors: | Reviewers: | ||

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

Branch: | Commit: | ||

Dependencies: | Stopgaps: |

### Description

The documentation of the function **monomial_all_divisors** states that the function
"Return a list of all monomials that divide" the input.

The polynomial 1 is considered as a monomial dividing any monomial but is not returned by **monomial_all_divisors** (see code below for an example).

Cyril

x,v=var('x,y') R = ZZ['x,y'] one = R(1) m = R(x*y^2) print "1 is a monomial: ", one.is_monomial() print "1 divides m:", R.monomial_divides (one, m) print "List of monomial divisors of m:", R.monomial_all_divisors(m) print "Is 1 in it:", one in R.monomial_all_divisors(m)

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