Phrase Hound found 43 phrases and 17 compound words that contain ideal. The most common are listed below. Open ideal in the live search for definitions, filters, and the full list.
Phrases 43
- ideal solutionAn idealized solution whose components exactly follow Raoult's law; equivalently, one where the enthalpy of mixing equals zero.
- ideal gasa hypothetical gas, whose molecules exhibit no interaction, and undergo elastic collision with each other and with the walls of the container
- Ideal Home
- prime idealAny (two-sided) ideal I such that for arbitrary ideals P and Q, PQ⊆I⟹P⊆I or Q⊆I.
- Ideal World
- ideal numberAn algebraic integer that represents an ideal in the ring of integers of a number field.
- primary idealGiven a commutative ring R, any ideal I such that for any a,b ∈ R, if ab ∈ I then either b ∈ I or aⁿ ∈ I for some integer n > 0.
- left idealA subset of a ring which is closed under left-multiplication by any element of the ring.
- right idealA subset of a ring which is closed under right-multiplication by any element of the ring.
- minimal idealA nonzero (two-sided) ideal that contains no other nonzero two-sided ideal.
- ideal-typicalOf or relating to an ideal type.
- radical idealAn ideal I within a ring R that is its own radical (i.e., for any r ∈ R, if rⁿ ∈ I for some positive integer n, then r ∈ I).
- ideal gas lawthe equation of state of an ideal gas
- different idealA measure of the lack of duality in the ring of integers of an algebraic number field K with respect to the field trace.
- ideal pointSynonym for omega point, in hyperbolic geometry. Also called: point at infinity
- ideal solutionsplural of ideal solution: An idealized solution whose components exactly follow Raoult's law; equivalently, one where the enthalpy of mixing equals zero.
- principal idealAn 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.
- zero idealThe ideal containing only the element zero.
- beau idealNonstandard spelling of beau idéal: Ideal excellence, or an imaginary standard of perfection.
- maximal idealAn ideal which cannot be made any larger (by adjoining any element to it) without making it improper (i.e., equal to the whole of the containing algebraic structure).
- fractional idealGiven an integral domain R and its field of fractions K = Frac(R), an R-submodule I of K such that for some nonzero r∈R, rI ⊆ R.
- ideal triangleIn hyperbolic geometry, a triangle whose vertices are all ideal; i.e. points at infinity, rather than real.
- factor idealFor given ring R, any ideal I such that Q = R / I, the set of cosets of elements of I in R, is a ring (the quotient ring of I in R).
- ideal mixtureSynonym of ideal solution: An idealized solution whose components exactly follow Raoult's law; equivalently, one where the enthalpy of mixing equals zero.
- Platonic idealA perfect, idealized notion of something, taken to exist beyond the physical world.
Compound words 17
- idealismThe property of a person of having high ideals that are usually unrealizable or at odds with practical life.
- idealisticOf or pertaining to an idealist or to idealism.
- idealistOne who adheres to idealism.
- idealizeTo regard something as ideal.
- hyperidealAn ideal of a semihypergroup.
- ideallessDevoid of ideals.
- coidealA particular linear subspace in a coalgebra
- counteridealAn opposing ideal.
- idealnessThe state or quality of being ideal; the ideality.
- ideleAn invertible element of the adele ring.