Principal ideal theorem

en

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Principal ideal theorem

Quality:

Principal ideal theorem - the theorem that extending ideals gives a mapping on the class group of an algebraic number field to the class group of its Hilbert class field, which sends all ideal classes to the class of a principal ideal. Article “Principal ideal theorem” in English Wikipedia has 5.7 points for quality (as of July 1, 2025). The article contains 0 references and 3 sections.

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

Since the creation of article “Principal ideal theorem”, its content was written by 18 registered users of English Wikipedia and edited by 32 registered Wikipedia users in all languages.

The article is cited 14 times in English Wikipedia and cited 24 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #181886 in November 2014
  • Global: #302498 in March 2006

The highest popularity rank from 2008:

  • Local (English): #1123162 in March 2014
  • Global: #1909444 in March 2014

There are 5 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
1Romanian (ro)
Teorema idealului principal
12.5164
2Chinese (zh)
主理想定理
6.3752
3English (en)
Principal ideal theorem
5.741
4Swedish (sv)
Principalidealsatsen
1.9007
5French (fr)
Théorème de l'idéal principal
0.2428
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 "Principal ideal theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Principal ideal theorem
29 522
2French (fr)
Théorème de l'idéal principal
5 344
3Swedish (sv)
Principalidealsatsen
339
4Chinese (zh)
主理想定理
290
5Romanian (ro)
Teorema idealului principal
134
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 "Principal ideal theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Principal ideal theorem
281
2French (fr)
Théorème de l'idéal principal
14
3Chinese (zh)
主理想定理
13
4Swedish (sv)
Principalidealsatsen
8
5Romanian (ro)
Teorema idealului principal
2
More...

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

The highest AI

Language versions of the article "Principal ideal theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Principal ideal theorem
18
2French (fr)
Théorème de l'idéal principal
10
3Swedish (sv)
Principalidealsatsen
2
4Romanian (ro)
Teorema idealului principal
1
5Chinese (zh)
主理想定理
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 "Principal ideal theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Principal ideal theorem
0
2French (fr)
Théorème de l'idéal principal
0
3Romanian (ro)
Teorema idealului principal
0
4Swedish (sv)
Principalidealsatsen
0
5Chinese (zh)
主理想定理
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 "Principal ideal theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Principal ideal theorem
14
2French (fr)
Théorème de l'idéal principal
5
3Romanian (ro)
Teorema idealului principal
3
4Swedish (sv)
Principalidealsatsen
1
5Chinese (zh)
主理想定理
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
enEnglish
Principal ideal theorem
frFrench
Théorème de l'idéal principal
roRomanian
Teorema idealului principal
svSwedish
Principalidealsatsen
zhChinese
主理想定理

Popularity rank trends

Best Rank English:
#1123162
03.2014
Global:
#1909444
03.2014

AI rank trends

Best Rank English:
#181886
11.2014
Global:
#302498
03.2006

Languages comparison

Important global interconnections (July 2024 – June 2025)

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