(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.

(algebra, ring theory) A commutative ring in which every ideal is a principal ideal.

plural of principal ideal ring

plural of principal ideal domain

plural of two-sided ideal

Alternative spelling of idealization

Alternative spelling of idealized

simple past tense and past participle of idealise

(philosophy) One who adheres to idealism. / Someone whose conduct stems from idealism rather than from practicality. / An unrealistic or impractical visionary.

In an idealistic manner.