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IDEALS

6 letters

✓ IT'S A WORD
TWL06 ✓ SOWPODS ✓ ENABLE1 ✓
Classic 3 pts
Big 3 pts
Super Big 3 pts

IDEALS is a valid 6-letter Boggle word. It's listed in all three major word lists — TWL06, SOWPODS, and ENABLE1. It scores 3 in Classic, 3 in Big, and 3 in Super Big Boggle.

IDEALS root IDEAL-s

Word family

IDEAL 2

Might be on the same board

Other words sharing these letters — a good chance they hide on the same Boggle board.

IDEALLY 5 IDEALISM 11 IDEALITY 11 IDEALIZE 11 IDEALISMS 11 IDEALIZED 11 IDEALIZER 11 IDEALIZES 11 IDEALNESS 11 IDEALITIES 11 IDEALIZERS 11 IDEALIZING 11 IDEALNESSES 11 IDEALIZATION 11 IDEALIZATIONS 11
adjective
  1. Pertaining to ideas, or to a given idea.
  2. Existing only in the mind; conceptual, imaginary.
  3. Optimal; being the best possibility.
  4. Perfect, flawless, having no defects.
  5. Teaching or relating to the doctrine of idealism.
    • the ideal theory or philosophy
  6. Not actually present, but considered as present when limits at infinity are included.
    • ideal point
    • An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle.
noun
  1. A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
  2. A two-sided ideal; a subset of a ring which is closed under both left and right multiplication by elements of the ring.
    • Let #92;mathbb#123;Z#125; be the ring of integers and let 2#92;mathbb#123;Z#125; be its ideal of even integers. Then the quotient ring #92;mathbb#123;Z#125;#47;2#92;mathbb#123;Z#125; is a Boolean ring.
    • The product of two ideals #92;mathfrak#123;a#125; and #92;mathfrak#123;b#125; is an ideal #92;mathfrak#123;ab#125; which is a subset of the intersection of #92;mathfrak#123;a#125; and #92;mathfrak#123;b#125;. This should help to understand why maximal ideals are prime ideals. Likewise, the union of #92;mathfrak#123;a#125; and #92;mathfrak#123;b#125; is a subset of #92;mathfrak#123;a#43;b#125;.
  3. A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).
  4. A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.
    • Formally, an ideal I of a given set X is a nonempty subset of the powerset #92;mathcal#123;P#125;(X) such that: (1)#92;#92;emptyset#92;inI, (2)#92;A#92;inI#92;andB#92;subseteqA#92;impliesB#92;inI and (3)#92;A,B#92;inI#92;impliesA#92;cupB#92;inI.
  5. A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍.
  6. A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it.
    • The set of natural numbers with multiplication as the monoid operation (instead of addition) has multiplicative ideals, such as, for example, the set {1, 3, 9, 27, 81, ...}. If any member of it is multiplied by a number which is not a power of 3 then the result will not be a power of three.