Commutator

en

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Commutator

Quality:

Commutator - two similar notions: in group theory and in ring theory. Article “Commutator” in English Wikipedia has 28.8 points for quality (as of July 1, 2026). The article contains 8 references and 12 sections.

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

Since the creation of article “Commutator”, its content was written by 159 registered users of English Wikipedia and edited by 556 registered Wikipedia users in all languages.

The article is cited 375 times in English Wikipedia and cited 1441 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #357 in November 2001
  • Global: #407 in November 2001

The highest popularity rank from 2008:

  • Local (English): #56929 in November 2014
  • Global: #66442 in November 2014

There are 20 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, 2026 (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
28.7571
2Catalan (ca)
Commutador (matemàtiques)
27.2365
3Polish (pl)
Komutator (matematyka)
23.3776
4Hebrew (he)
קומוטטור
21.1445
5Spanish (es)
Conmutador (matemática)
20.5519
6Arabic (ar)
مبدل (رياضيات)
19.1915
7Russian (ru)
Коммутатор (алгебра)
14.2301
8Finnish (fi)
Kommutaattori (matematiikka)
14.224
9Chinese (zh)
交換子
14.0823
10Italian (it)
Commutatore (matematica)
12.0401
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 "Commutator" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Commutator
2 355 733
2German (de)
Kommutator (Mathematik)
592 967
3Russian (ru)
Коммутатор (алгебра)
277 739
4Chinese (zh)
交換子
151 714
5Japanese (ja)
交換子
149 558
6French (fr)
Commutateur (opérateur)
142 394
7Polish (pl)
Komutator (matematyka)
135 884
8Italian (it)
Commutatore (matematica)
125 241
9Hebrew (he)
קומוטטור
51 695
10Portuguese (pt)
Comutador (matemática)
31 097
More...

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

Most popular in June 2026

The most popular language versions of the article "Commutator" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Commutator
5 716
2German (de)
Kommutator (Mathematik)
1 605
3Russian (ru)
Коммутатор (алгебра)
574
4Chinese (zh)
交換子
427
5Italian (it)
Commutatore (matematica)
382
6Polish (pl)
Komutator (matematyka)
371
7French (fr)
Commutateur (opérateur)
324
8Japanese (ja)
交換子
265
9Spanish (es)
Conmutador (matemática)
179
10Hebrew (he)
קומוטטור
148
More...

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

The highest AI

Language versions of the article "Commutator" 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)
69
3Italian (it)
Commutatore (matematica)
48
4Russian (ru)
Коммутатор (алгебра)
46
5Hebrew (he)
קומוטטור
31
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 2026

Language versions of the article "Commutator" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Persian (fa)
جابه‌جاگر (ریاضیات)
1
2Hebrew (he)
קומוטטור
1
3Arabic (ar)
مبدل (رياضيات)
0
4Catalan (ca)
Commutador (matemàtiques)
0
5Czech (cs)
Komutátor (algebra)
0
6Danish (da)
Kommutator (matematik)
0
7German (de)
Kommutator (Mathematik)
0
8English (en)
Commutator
0
9Spanish (es)
Conmutador (matemática)
0
10Finnish (fi)
Kommutaattori (matematiikka)
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 "Commutator" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Commutator
375
2Chinese (zh)
交換子
213
3Polish (pl)
Komutator (matematyka)
147
4German (de)
Kommutator (Mathematik)
132
5Russian (ru)
Коммутатор (алгебра)
88
6Italian (it)
Commutatore (matematica)
87
7Japanese (ja)
交換子
69
8French (fr)
Commutateur (opérateur)
58
9Ukrainian (uk)
Комутатор (математика)
54
10Catalan (ca)
Commutador (matemàtiques)
48
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
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
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 English:
#56929
11.2014
Global:
#66442
11.2014

AI rank trends

Best Rank English:
#357
11.2001
Global:
#407
11.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Commutator from Wikipedia articles about Kommutator, Commutator subgroup, Uncertainty principle, Canonical commutation relation and Jacobi identity. Whereas reading the article about Commutator people most often go to Wikipedia articles on Canonical commutation relation, Anticommutativity, Commutative property, 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 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information