Word.ws English Dictionary

maximal ideals

maximal ideals is the plural of maximal ideal.

Meaning of maximal ideal

Noun

maximal ideal (plural maximal ideals)

  1. (ring theory) An 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).
    • Denote the minimal prime ideal in (b) by J#95;#92;mathsf#123;max#125;(#92;lambda), the unique maximal ideal of infinitesimal character #92;lambda.1994, William M. McGovern, Completely Prime Maximal Ideals and Quantization, American Mathematical Society, page 15

Questions about maximal ideals

What is maximal ideals the plural of?
Maximal ideals is the plural of maximal ideal.

Words near maximal ideals in the dictionary

  1. Maxim gun
  2. maxima
  3. maximae
  4. maximal
  5. maximal ideal
  6. maximal ideals
  7. maximal munch
  8. maximalism
  9. maximalisms
  10. maximalist
  11. maximalistic

Source and license

Adapted from Wiktionary: maximal ideals (page history and authors); maximal ideal (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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