plural of left ideal

Alternative form of beau idéal

plural of beau-ideal

(algebraic geometry) An ideal consisting of all polynomials (belonging to a certain polynomial ring) which zero out within a given algebraic variety.

In hyperbolic geometry, a triangle whose vertices are all ideal; i.e. points at infinity, rather than real.

plural of ideal triangle

ideally; if only it were possible.

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

(physics) the equation of state of an ideal gas