Word Pronunciation & Dictionary

maximal ideal

Word Rarity Rare

Frequency: Zipf frequency 3.04 in modern English

Syllables: max-i-mal ide-al
IPA

24

Scrabble Score

12

Letters

4

Syllables

7

Unique Chars

Meaning

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).

Example Sentences

"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."
"2004, Ayman Badawi, Abstract Algebra Manual: Problems and Solutions, Nova Science, 2nd Edition, page 87, Let S be the set of all prime ideals of B, and H be the set of all maximal ideals of B."
"In particular, a prime ideal #92;mathfrak#123;p#125;#92;subsetA is a closed point of #92;mathrm#123;Spec#125;#92;A if and only if #92;mathfrak#123;p#125; is a maximal ideal."

Inflected Forms

maximal ideals (plural)

Phrases

maximal left ideal maximal right ideal

Frequently Paired Words

maximal left ideal maximal right ideal minimal ideal

Questions

What does maximal ideal mean?: 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).

How to pronounce maximal ideal

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