Nonstandard spelling of beau idéal.

(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.

(philosophy) A school of philosophy first proposed by Immanuel Kant. It can be juxtaposed with transcendental realism in that it views things in terms of how they appear to the actor rather than how they actually are.

(physics) a hypothetical gas, whose molecules exhibit no interaction, and undergo elastic collision with each other and with the walls of the container

plural of absolute idealism

(philosophy) A philosophy originally developed by certain German idealists such as Hegel and Schelling, which affirms that reality is grounded in cognition as a single, fundamental and unlimited principle of being that unites subject and object.

plural of ideal gas

(mathematics) A certain kind of subset of a partially ordered set.

(algebra, ring theory) Any (two-sided) ideal I such that for arbitrary ideals P and Q, PQ⊆I⟹P⊆I or Q⊆I.