Kommutator (Mathematik)

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Kommutator (Mathematik)

Quality:

Commutator - two similar notions: in group theory and in ring theory. Article “Kommutator (Mathematik)” in German Wikipedia has 8.1 points for quality (as of July 1, 2025). The article contains 0 references and 6 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (German) language version.

Since the creation of article “Kommutator (Mathematik)”, its content was written by 68 registered users of German Wikipedia and edited by 556 registered Wikipedia users in all languages.

The article is cited 132 times in German Wikipedia and cited 1481 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #4370 in May 2003
  • Global: #408 in November 2001

The highest popularity rank from 2008:

  • Local (German): #21358 in May 2022
  • Global: #64452 in November 2014

There are 21 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)
Commutator
28.8234
2Catalan (ca)
Commutador (matemàtiques)
27.1556
3Polish (pl)
Komutator (matematyka)
21.2076
4Hebrew (he)
קומוטטור
20.8093
5Spanish (es)
Conmutador (matemática)
20.7653
6Arabic (ar)
مبدل (رياضيات)
19.2619
7Finnish (fi)
Kommutaattori (matematiikka)
14.2512
8Russian (ru)
Коммутатор (алгебра)
14.2194
9Chinese (zh)
交換子
14.1033
10Italian (it)
Commutatore (matematica)
11.9905
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 "Kommutator (Mathematik)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Commutator
2 253 946
2German (de)
Kommutator (Mathematik)
576 535
3Russian (ru)
Коммутатор (алгебра)
263 550
4Japanese (ja)
交換子
145 968
5Chinese (zh)
交換子
144 977
6French (fr)
Commutateur (opérateur)
136 898
7Polish (pl)
Komutator (matematyka)
131 806
8Italian (it)
Commutatore (matematica)
119 120
9Hebrew (he)
קומוטטור
49 983
10Portuguese (pt)
Comutador (matemática)
30 217
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 "Kommutator (Mathematik)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Commutator
8 215
2German (de)
Kommutator (Mathematik)
1 696
3Russian (ru)
Коммутатор (алгебра)
825
4Italian (it)
Commutatore (matematica)
607
5Chinese (zh)
交換子
604
6Japanese (ja)
交換子
414
7French (fr)
Commutateur (opérateur)
404
8Polish (pl)
Komutator (matematyka)
334
9Spanish (es)
Conmutador (matemática)
172
10Hebrew (he)
קומוטטור
151
More...

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

The highest AI

Language versions of the article "Kommutator (Mathematik)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Commutator
159
2German (de)
Kommutator (Mathematik)
68
3Italian (it)
Commutatore (matematica)
48
4Russian (ru)
Коммутатор (алгебра)
46
5Hebrew (he)
קומוטטור
30
6Chinese (zh)
交換子
29
7Polish (pl)
Komutator (matematyka)
25
8French (fr)
Commutateur (opérateur)
24
9Dutch (nl)
Commutator (wiskunde)
21
10Danish (da)
Kommutator (matematik)
18
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 "Kommutator (Mathematik)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Commutator
2
2Arabic (ar)
مبدل (رياضيات)
1
3Hebrew (he)
קומוטטור
1
4Italian (it)
Commutatore (matematica)
1
5Catalan (ca)
Commutador (matemàtiques)
0
6Czech (cs)
Komutátor (algebra)
0
7Danish (da)
Kommutator (matematik)
0
8German (de)
Kommutator (Mathematik)
0
9Spanish (es)
Conmutador (matemática)
0
10Persian (fa)
جابه‌جاگر (ریاضیات)
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 "Kommutator (Mathematik)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Commutator
383
2Chinese (zh)
交換子
218
3Polish (pl)
Komutator (matematyka)
150
4German (de)
Kommutator (Mathematik)
132
5Russian (ru)
Коммутатор (алгебра)
90
6Italian (it)
Commutatore (matematica)
88
7Japanese (ja)
交換子
70
8French (fr)
Commutateur (opérateur)
57
9Ukrainian (uk)
Комутатор (математика)
55
10Catalan (ca)
Commutador (matemàtiques)
46
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مبدل (رياضيات)
caCatalan
Commutador (matemàtiques)
csCzech
Komutátor (algebra)
daDanish
Kommutator (matematik)
deGerman
Kommutator (Mathematik)
enEnglish
Commutator
esSpanish
Conmutador (matemática)
faPersian
جابه‌جاگر (ریاضیات)
fiFinnish
Kommutaattori (matematiikka)
frFrench
Commutateur (opérateur)
heHebrew
קומוטטור
itItalian
Commutatore (matematica)
jaJapanese
交換子
koKorean
교환자
nlDutch
Commutator (wiskunde)
plPolish
Komutator (matematyka)
ptPortuguese
Comutador (matemática)
ruRussian
Коммутатор (алгебра)
ukUkrainian
Комутатор (математика)
viVietnamese
Giao hoán tử
zhChinese
交換子

Popularity rank trends

Best Rank German:
#21358
05.2022
Global:
#64452
11.2014

AI rank trends

Best Rank German:
#4370
05.2003
Global:
#408
11.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Commutator from Wikipedia articles about Kommutator, Uncertainty principle, Commutator subgroup, Canonical commutation relation and Jacobi identity. Whereas reading the article about Commutator people most often go to Wikipedia articles on Canonical commutation relation, Anticommutativity, Poisson bracket, Commutator and Baker–Campbell–Hausdorff formula.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In German Wikipedia the most popular articles on that day were: Oscarverleihung 2026, One Battle After Another, Blood & Sinners, Michael B. Jordan, Jessie Buckley, Jürgen Habermas, Sean Penn, Banksy, Liste der größten Auslegerbrücken, Amy Madigan.

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