Idempotent (ring theory)

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Idempotent (ring theory)

Quality:

Idempotent element - element x of a ring such that x² = x. Article "Idempotent (ring theory)" in English Wikipedia has 31.1 points for quality (as of July 1, 2025). The article contains 8 references and 13 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Idempotent (ring theory)" was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article "Idempotent (ring theory)", its content was written by 42 registered users of English Wikipedia and edited by 65 registered Wikipedia users in all languages.

The article is cited 74 times in English Wikipedia and cited 161 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #39212 in December 2012
  • Global: #64431 in November 2003

The highest popularity rank from 2008:

  • Local (English): #365197 in January 2015
  • Global: #610140 in January 2015

There are 7 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
1English (en)
Idempotent (ring theory)
31.0916
2Japanese (ja)
冪等元
22.6799
3Vietnamese (vi)
Lũy đẳng (lý thuyết vành)
14.2291
4Galician (gl)
Idempotente (teoría dos aneis)
13.3975
5Korean (ko)
멱등원
8.1344
6Ukrainian (uk)
Ідемпотентний елемент
4.7123
7Dutch (nl)
Idempotent element
2.3506
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 "Idempotent (ring theory)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Idempotent (ring theory)
157 921
2Japanese (ja)
冪等元
15 613
3Dutch (nl)
Idempotent element
9 304
4Korean (ko)
멱등원
7 565
5Ukrainian (uk)
Ідемпотентний елемент
3 188
6Vietnamese (vi)
Lũy đẳng (lý thuyết vành)
2 409
7Galician (gl)
Idempotente (teoría dos aneis)
63
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 "Idempotent (ring theory)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Idempotent (ring theory)
1 571
2Japanese (ja)
冪等元
144
3Korean (ko)
멱등원
41
4Vietnamese (vi)
Lũy đẳng (lý thuyết vành)
36
5Dutch (nl)
Idempotent element
11
6Ukrainian (uk)
Ідемпотентний елемент
10
7Galician (gl)
Idempotente (teoría dos aneis)
7
More...

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

The highest AI

Language versions of the article "Idempotent (ring theory)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Idempotent (ring theory)
42
2Dutch (nl)
Idempotent element
6
3Ukrainian (uk)
Ідемпотентний елемент
6
4Japanese (ja)
冪等元
5
5Vietnamese (vi)
Lũy đẳng (lý thuyết vành)
3
6Korean (ko)
멱등원
2
7Galician (gl)
Idempotente (teoría dos aneis)
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 "Idempotent (ring theory)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Idempotent (ring theory)
1
2Galician (gl)
Idempotente (teoría dos aneis)
0
3Japanese (ja)
冪等元
0
4Korean (ko)
멱등원
0
5Dutch (nl)
Idempotent element
0
6Ukrainian (uk)
Ідемпотентний елемент
0
7Vietnamese (vi)
Lũy đẳng (lý thuyết vành)
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 "Idempotent (ring theory)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Idempotent (ring theory)
74
2Korean (ko)
멱등원
31
3Japanese (ja)
冪等元
27
4Ukrainian (uk)
Ідемпотентний елемент
13
5Vietnamese (vi)
Lũy đẳng (lý thuyết vành)
11
6Dutch (nl)
Idempotent element
3
7Galician (gl)
Idempotente (teoría dos aneis)
2
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
Idempotent (ring theory)
glGalician
Idempotente (teoría dos aneis)
jaJapanese
冪等元
koKorean
멱등원
nlDutch
Idempotent element
ukUkrainian
Ідемпотентний елемент
viVietnamese
Lũy đẳng (lý thuyết vành)

Popularity rank trends

Best Rank English:
#365197
01.2015
Global:
#610140
01.2015

AI rank trends

Best Rank English:
#39212
12.2012
Global:
#64431
11.2003

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Idempotent element from Wikipedia articles about Nilpotent element, Idempotence, Boolean ring, Split-complex number and Idempotent matrix. Whereas reading the article about Idempotent element people most often go to Wikipedia articles on Idempotence, Idempotent matrix, Boolean ring, Ring theory and Chinese remainder theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 8 July 2025

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In English Wikipedia the most popular articles on that day were: Superman (2025 film), João Pedro (footballer, born 2001), Untitled Jurassic World film, Aryna Sabalenka, Laura Siegemund, Ozzy Osbourne, Amanda Anisimova, Jeffrey Epstein, Cameron Norrie, Deaths in 2025.

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