Monoid of ideals in a commutative ring¶
-
sage.rings.ideal_monoid.IdealMonoid(R)¶ Return the monoid of ideals in the ring
R.EXAMPLES:
sage: R = QQ['x'] sage: sage.rings.ideal_monoid.IdealMonoid(R) Monoid of ideals of Univariate Polynomial Ring in x over Rational Field
-
class
sage.rings.ideal_monoid.IdealMonoid_c(R)¶ Bases:
sage.structure.parent.ParentThe monoid of ideals in a commutative ring.
-
Element¶ alias of
sage.rings.ideal.Ideal_generic
-
ring()¶ Return the ring of which this is the ideal monoid.
EXAMPLES:
sage: R = QuadraticField(-23, 'a') sage: M = sage.rings.ideal_monoid.IdealMonoid(R); M.ring() is R True
-