Word.ws English Dictionary

maximal ideal

maximal ideal noun: 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).

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
    • Let S be the set of all prime ideals of B, and H be the set of all maximal ideals of B.2004, Ayman Badawi, Abstract Algebra Manual: Problems and Solutions, Nova Science, 2nd Edition, page 87

maximal ideal meaning in Tamil

maximal ideal in Tamil

உச்ச அளவுச் சீர்மம்

Forms of maximal ideal

pluralmaximal ideals

Questions about maximal ideal

What does maximal ideal mean?
Maximal ideal means 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).
What is maximal ideal in Tamil?
Maximal ideal in Tamil is உச்ச அளவுச் சீர்மம். See Maximal ideal meaning in Tamil.
What part of speech is maximal ideal?
Maximal ideal is a noun.
What is the plural of maximal ideal?
The plural of maximal ideal is maximal ideals.

Words near maximal ideal in the dictionary

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

Source and license

Adapted from Wiktionary: maximal ideal (page history and authors); maximal ideal (Tamil Wiktionary) (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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