(algebra) An integral domain in which every ideal is a principal ideal.

(algebra) A subring which is both a left ideal and a right ideal. Commonly referred to simply as an ideal, but referred to as two-sided ideal for emphasis.

Nonstandard spelling of beau idéal.

That may be idealized

Devoid of ideas.

Devoid of ideals.

plural of idealisation

Of or relating to (Mount) Ida.

plural of idealizer

A person who idealizes. / (algebra) For a ring R and an ideal m of R, the set of all u ∈ Frac(R) such that um ⊂ m, where Frac(R) is the fraction field of R.