Return the monoid of ideals in the ring R.
sage: R = QQ['x'] sage: sage.rings.ideal_monoid.IdealMonoid(R) Monoid of ideals of Univariate Polynomial Ring in x over Rational Field
The monoid of ideals in a commutative ring.
sage: R = QQ['x'] sage: M = sage.rings.ideal_monoid.IdealMonoid(R) sage: TestSuite(M).run() Failure in _test_category: ... The following tests failed: _test_elements
(The “_test_category” test fails but I haven’t the foggiest idea why.)
alias of Ideal_generic
Return the ring of which this is the ideal monoid.
sage: R = QuadraticField(-23, 'a') sage: M = sage.rings.ideal_monoid.IdealMonoid(R); M.ring() is R True