plural of ideal

Third-person singular simple present indicative form of idealize

present participle of idealize

plural of idealization

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.

plural of ideality

plural of idealism

Optimal; being the best possibility. / Perfect, flawless, having no defects. / Pertaining to ideas, or to a given idea. / Existing only in the mind; conceptual, imaginary.

A perfect standard of beauty, intellect etc., or a standard of excellence to aim at. / (algebra, ring theory) A subring closed under multiplication by its containing ring.