Third-person singular simple present indicative form of idealise

present participle of idealise

plural of idealization

(algebra) An ideal I in an algebraic object R (which could be a ring, algebra, semigroup or lattice) that is generated by a given single element a ∈ R; the smallest ideal that contains a.

(algebra) A subring which is closed under left-multiplication by any element of the ring.

(algebra) A subring which is closed under right-multiplication by any element of the ring.

(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