monomial_all_divisors omit 1 as a monomial divisor

[sagetrac-bouvier]

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)

Component: basic arithmetic

Branch: u/gh-belleb/monomial_all_divisors_omit_1_as_a_monomial_divisor

Issue created by migration from https://trac.sagemath.org/ticket/16432

[belleb]

Branch: u/gh-belleb/monomial_all_divisors_omit_1_as_a_monomial_divisor