Word.ws English Dictionary

How to use ideal in a sentence

40 example sentences · adjective, noun

Ideal means pertaining to ideas, or to a given idea. Example: “An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle.”

Examples of ideal by meaning

adjectiveTeaching or relating to the doctrine of idealism.

  • the ideal theory or philosophy

adjectiveNot actually present, but considered as present when limits at infinity are included.

  • An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle.

nounA perfect standard of beauty, intellect etc., or a standard of excellence to aim at.

  • Varvara Andreevna, when I was very young, I set before myself the ideal of the woman I loved and should be happy to call my wife.1901 [1878], chapter 5, in Constance Garnett, transl., Anna Karenina, translation of Анна Каренина (Anna Karenina) by Leo Tolstoy, part 6
  • With great humility, I call upon all Americans to help me keep our nation united in defense of those ideals which have been so eloquently proclaimed by Franklin Roosevelt.1945 April 16, Harry S. Truman, 9:21 from the start, in MP72-20 President Roosevelt’s Funeral and Procession; Truman – New President of...

nounA two-sided ideal; a subset of a ring which is closed under both left and right multiplication by elements of the ring.

  • In trying to understand the ideal theory of a commutative ring, one quickly sees that it is important to first understand the prime ideals.2004, K. R. Goodearl; R. B. Warfield, Jr., An Introduction to Noncommutative Noetherian Rings, 2nd edition, Cambridge University Press...
  • If an ideal I of a ring contains the multiplicative identity 1, then we have seen that I must be the entire ring.2009, John J. Watkins, Topics in Commutative Ring Theory, Princeton University Press, page 45
  • However, every R has a minimal prime ideal consisting of left zero-divisors and one of right zero-divisors.2010, W. D. Burgess, A. Lashgari, A. Mojiri, “Elements of Minimal Prime Ideals in General Rings”, in Sergio R. López-Permouth, Dinh Van...

nounA non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).

  • An ideal A of L is called complete if it contains all least upper bounds of its subsets that exist in L.1992, T. S. Fofanova, “General Theory of Lattices”, in Unnamed, transl., Ordered Sets and Lattices II, American Mathematical Society, page...
  • 1.35 Find a distributive lattice L with no minimal and no maximal prime ideals.2011, George Grätzer, Lattice Theory: Foundation, Springer (Birkhäuser), page 125

nounA Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket...

  • What really put primitive ideals in enveloping algebras of semisimple Lie algebras on the map was Duflo's fundamental theorem that any such ideal is the annihilator of a very special kind of simple module, namely a highest weight module.2006, W. McGovern, “The work of Anthony Joseph in classical representation theory”, in Anthony Joseph, Joseph Bernstein, Vladimir Hinich...

More sentences with ideal

  • The quotient ring over a maximal ideal is a field with a single zero element.From the entry zero
  • Mary sighed, knowing her ideals were far too romantic to work in reality.From the entry romantic
  • The US Constitution aimed to embody the ideals of diverse groups of people, from Puritans to Deists.From the entry embody
  • My ideal bracket of temperature ranges from the sixties up to the nineties.From the entry nineties
  • Because they have far more powerful noses than humans, dogs are ideal to sniff out drugs.From the entry sniff out
  • If I is a left ideal of R then rI⊆I for any r isin R.From the entry left ideal
  • If I is a right ideal of R then Ir⊆I for any r isin R.From the entry right ideal
  • I've always looked on him as the ideal candidate for the job.From the entry look on as
  • A wall-mounted table is the ideal, flexible solution wherever your space is limited.From the entry wall-mounted
  • We used the US constitution as the Platonic ideal of the ideology of our new state.From the entry Platonic ideal
  • In prescriptive ideal, writers will optimize their usage.From the entry usage
  • This high-spec computer is ideal for power users.From the entry power
  • He was a heavy sleeper, a heavy eater and a heavy smoker – certainly not an ideal husband.From the entry heavy
  • It isn't ideal, but it will pass.From the entry pass
  • An ideal son is his father's lasting lust.From the entry lust
  • The compositional aspects of this work are less than ideal.From the entry compositional
  • I fantasized about my ideal date.From the entry fantasize
  • Underlying every Esperanto enthusiast is the Esperantist ideal that the world would be a better place if everyone could understand each other better.From the entry Esperantist
  • It can be proved that a Dedekind domain (as defined above) is equivalent to an integral domain in which every proper fractional ideal is invertible.From the entry Dedekind domain
  • This family friendly paradise - with its giant snow slides, outdoor amphitheatre, and traditional winter activities - is the ideal destination for the young and old alike.From the entry family-friendly
  • If P is a proper prime ideal of a ring and M is the set complement, w.r.t. the ring, of P, then M is a multiplicative subset.From the entry multiplicative subset
  • Johnson amassed enough support to win the speakership because of his allegiance to Trumpian ideals, earning him the nickname on the far right of “Maga Mike”.From the entry MAGA Mike
  • It's the best of both worlds and ideal for male yurifags.2026 June 3, anonymous author, 4chan, /h/. From the entry LGD
  • Another attribute of the Dirtbag left is its abandonment of the fossilized ideal of balance.2022 August 6, Heather Hutchinson, “I'm Just a Rhetorical Dirtbag, Baby.”, in MacEwan University Student EJournal, volume 6, number 1, →DOI. From the entry dirtbag left
  • This is the ideal case for bothsidesists who will point out the inconsistencies.2022 December 27, John Q, “Why the (US) right is always wrong … and how both-sidesists help to ensure this”, in Crooked Timber. From the entry bothsidesist
  • Before she married her husband, Kiersten Little considered him ideal father material.2021 November 20, Alex Williams, “To Breed or Not to Breed?”, in The New York Times, →ISSN. From the entry material
  • For an autodidact, for somebody who plays by ear like me, the ukulele is ideal.2021, Pedro Mairal, The Woman from Uruguay, Bloomsbury Publishing, →ISBN, page 139. From the entry autodidact
  • It is one of the features that make them an ideal model organism, amenable to microscopy.2020, Brandon Taylor, Real Life, Daunt Books Originals, page 88. From the entry microscopy
  • Overall, the effect of green poverty reduction in southern Shaanxi was still not ideal.2020, Yingjuan Yang, Huifeng Xue, “Evaluation of Green Poverty Reduction in Southern Shaanxi Based on Comprehensive Weighting…. From the entry Hanbin
  • Why not emigrate to Trumpmerica where your ideals (and 'reality') is mainstream ?2020 August 22, geoff, “Hamilton Leading BLM Movement In F1”, in rec.autos.sport.f1 (Usenet), archived from the original on 20 Jul 2026. From the entry Trumpmerica

Meaning of ideal

  1. adjective Pertaining to ideas, or to a given idea.
  2. adjective Existing only in the mind; conceptual, imaginary.
  3. adjective Optimal; being the best possibility.

Full definition of ideal

Questions about ideal in a sentence

How do you use ideal in a sentence?
Ideal is used as an adjective and noun. For example: “An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle.”
What is a short sentence with ideal?
“the ideal theory or philosophy”
What does ideal mean?
Ideal means pertaining to ideas, or to a given idea.

Source and license

Adapted from Wiktionary: ideal (page history and authors) and the entries each sentence comes from. Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws chose the sentences, left out offensive ones and quotations older than 1900, and marked the word in each. Wiktionary data of 2026-09-02.

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Cite this page: “How to use ideal in a sentence.” Word.ws, https://word.ws/sentences/ideal. Based on Wiktionary, CC BY-SA 4.0.