(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.

(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.

Nonstandard spelling of beau idéal.

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.

plural of Frink ideal