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Meaning of ideals

Source language: EnglishDictionary language: English

ideals

Pronunciation:/aɪˈdɪəlz//aɪˈdi.əlz/

noun

Definitions

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

  2. A subring closed under multiplication by its containing ring.

  3. (lattice theory) 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.