Krull's theorem

en

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Krull's theorem

Quality:

Krull's theorem - theorem stating that a nonzero ring has a maximal left (or right) ideal. Article “Krull's theorem” in English Wikipedia has 12.2 points for quality (as of July 1, 2025). The article contains 2 references and 3 sections.

This article has the best quality in French Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Krull's theorem”, its content was written by 28 registered users of English Wikipedia and edited by 80 registered Wikipedia users in all languages.

The article is cited 11 times in English Wikipedia and cited 57 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #167864 in November 2009
  • Global: #237442 in October 2011

The highest popularity rank from 2008:

  • Local (English): #875545 in March 2014
  • Global: #1157831 in March 2014

There are 9 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1French (fr)
Théorème de Krull
25.2362
2Ukrainian (uk)
Теорема Круля
18.7026
3Japanese (ja)
クルルの定理
14.231
4English (en)
Krull's theorem
12.2395
5Galician (gl)
Teorema de Krull
10.1245
6Polish (pl)
Twierdzenie Krulla
7.058
7Catalan (ca)
Teorema de Krull
5.6791
8Italian (it)
Lemma di Krull
2.0162
9Hungarian (hu)
Krull-tétel
1.3525
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Krull's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Krull's theorem
55 631
2French (fr)
Théorème de Krull
23 068
3Japanese (ja)
クルルの定理
7 451
4Italian (it)
Lemma di Krull
6 725
5Polish (pl)
Twierdzenie Krulla
6 127
6Catalan (ca)
Teorema de Krull
1 588
7Ukrainian (uk)
Теорема Круля
1 013
8Hungarian (hu)
Krull-tétel
274
9Galician (gl)
Teorema de Krull
55
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Krull's theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Krull's theorem
434
2French (fr)
Théorème de Krull
93
3Japanese (ja)
クルルの定理
90
4Italian (it)
Lemma di Krull
33
5Polish (pl)
Twierdzenie Krulla
24
6Catalan (ca)
Teorema de Krull
20
7Hungarian (hu)
Krull-tétel
8
8Galician (gl)
Teorema de Krull
3
9Ukrainian (uk)
Теорема Круля
3
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Krull's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Krull's theorem
28
2French (fr)
Théorème de Krull
20
3Italian (it)
Lemma di Krull
10
4Japanese (ja)
クルルの定理
7
5Polish (pl)
Twierdzenie Krulla
5
6Catalan (ca)
Teorema de Krull
4
7Ukrainian (uk)
Теорема Круля
3
8Hungarian (hu)
Krull-tétel
2
9Galician (gl)
Teorema de Krull
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Krull's theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Teorema de Krull
0
2English (en)
Krull's theorem
0
3French (fr)
Théorème de Krull
0
4Galician (gl)
Teorema de Krull
0
5Hungarian (hu)
Krull-tétel
0
6Italian (it)
Lemma di Krull
0
7Japanese (ja)
クルルの定理
0
8Polish (pl)
Twierdzenie Krulla
0
9Ukrainian (uk)
Теорема Круля
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Krull's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Théorème de Krull
16
2English (en)
Krull's theorem
11
3Italian (it)
Lemma di Krull
7
4Japanese (ja)
クルルの定理
6
5Galician (gl)
Teorema de Krull
5
6Polish (pl)
Twierdzenie Krulla
5
7Hungarian (hu)
Krull-tétel
4
8Catalan (ca)
Teorema de Krull
2
9Ukrainian (uk)
Теорема Круля
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de Krull
enEnglish
Krull's theorem
frFrench
Théorème de Krull
glGalician
Teorema de Krull
huHungarian
Krull-tétel
itItalian
Lemma di Krull
jaJapanese
クルルの定理
plPolish
Twierdzenie Krulla
ukUkrainian
Теорема Круля

Popularity rank trends

Best Rank English:
#875545
03.2014
Global:
#1157831
03.2014

AI rank trends

Best Rank English:
#167864
11.2009
Global:
#237442
10.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Krull's theorem from Wikipedia articles about Maximal ideal, Prime ideal, Radical of an ideal, Axiom of choice and Zorns lemma. Whereas reading the article about Krull's theorem people most often go to Wikipedia articles on Zorns lemma, Krulls principal ideal theorem, Transfinite induction, Wolfgang Krull and Maximal ideal.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information