Closure (mathematics)

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Closure (mathematics)

Quality:

Closure - mathematical property of an operation. Article "Closure (mathematics)" in English Wikipedia has 21.4 points for quality (as of July 1, 2025). The article contains 6 references and 8 sections.

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

Since the creation of article "Closure (mathematics)", its content was written by 133 registered users of English Wikipedia and edited by 393 registered Wikipedia users in all languages.

The article is cited 237 times in English Wikipedia and cited 945 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #6623 in August 2003
  • Global: #7478 in August 2003

The highest popularity rank from 2008:

  • Local (English): #72196 in September 2017
  • Global: #92932 in September 2017

There are 29 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
1Tamil (ta)
அடைவுப் பண்பு
27.6601
2English (en)
Closure (mathematics)
21.441
3Simple English (simple)
Closure (mathematics)
19.2036
4Indonesian (id)
Ketertutupan (matematika)
17.345
5Spanish (es)
Clausura (matemáticas)
16.8928
6Galician (gl)
Pechamento
16.3706
7Romanian (ro)
Închidere (matematică)
14.6638
8Greek (el)
Κλειστότητα
13.5001
9Persian (fa)
بستار (ریاضی)
12.9696
10Arabic (ar)
انغلاق (رياضيات)
9.9706
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 "Closure (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Closure (mathematics)
1 502 274
2German (de)
Abgeschlossenheit (algebraische Struktur)
129 732
3Portuguese (pt)
Fechamento
104 292
4Chinese (zh)
闭包 (数学)
98 751
5Russian (ru)
Замыкание (алгебра)
94 490
6Arabic (ar)
انغلاق (رياضيات)
74 805
7French (fr)
Clôture (mathématiques)
59 200
8Persian (fa)
بستار (ریاضی)
53 963
9Thai (th)
สมบัติการปิด
45 448
10Hebrew (he)
סגירות (אלגברה)
39 398
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 "Closure (mathematics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Closure (mathematics)
4 288
2Chinese (zh)
闭包 (数学)
340
3German (de)
Abgeschlossenheit (algebraische Struktur)
311
4Russian (ru)
Замыкание (алгебра)
291
5Japanese (ja)
閉性
266
6Simple English (simple)
Closure (mathematics)
238
7French (fr)
Clôture (mathématiques)
195
8Spanish (es)
Clausura (matemáticas)
152
9Thai (th)
สมบัติการปิด
144
10Korean (ko)
폐포 (수학)
82
More...

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

The highest AI

Language versions of the article "Closure (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Closure (mathematics)
133
2German (de)
Abgeschlossenheit (algebraische Struktur)
39
3French (fr)
Clôture (mathématiques)
34
4Russian (ru)
Замыкание (алгебра)
16
5Arabic (ar)
انغلاق (رياضيات)
14
6Chinese (zh)
闭包 (数学)
13
7Italian (it)
Proprietà di chiusura
12
8Persian (fa)
بستار (ریاضی)
11
9Korean (ko)
폐포 (수학)
10
10Dutch (nl)
Afsluiting (verzameling)
10
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 "Closure (mathematics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Spanish (es)
Clausura (matemáticas)
2
2Italian (it)
Proprietà di chiusura
1
3Romanian (ro)
Închidere (matematică)
1
4Arabic (ar)
انغلاق (رياضيات)
0
5Danish (da)
Lukning
0
6German (de)
Abgeschlossenheit (algebraische Struktur)
0
7Greek (el)
Κλειστότητα
0
8English (en)
Closure (mathematics)
0
9Persian (fa)
بستار (ریاضی)
0
10French (fr)
Clôture (mathématiques)
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 "Closure (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Closure (mathematics)
237
2Chinese (zh)
闭包 (数学)
75
3Ukrainian (uk)
Замикання (математика)
57
4Arabic (ar)
انغلاق (رياضيات)
51
5German (de)
Abgeschlossenheit (algebraische Struktur)
51
6Hebrew (he)
סגירות (אלגברה)
47
7Japanese (ja)
閉性
45
8Russian (ru)
Замыкание (алгебра)
42
9French (fr)
Clôture (mathématiques)
41
10Portuguese (pt)
Fechamento
30
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
arArabic
انغلاق (رياضيات)
daDanish
Lukning
deGerman
Abgeschlossenheit (algebraische Struktur)
elGreek
Κλειστότητα
enEnglish
Closure (mathematics)
esSpanish
Clausura (matemáticas)
faPersian
بستار (ریاضی)
frFrench
Clôture (mathématiques)
glGalician
Pechamento
heHebrew
סגירות (אלגברה)
hrCroatian
Zatvorenost (matematika)
idIndonesian
Ketertutupan (matematika)
itItalian
Proprietà di chiusura
jaJapanese
閉性
koKorean
폐포 (수학)
nlDutch
Afsluiting (verzameling)
noNorwegian
Lukning (matematikk)
ptPortuguese
Fechamento
roRomanian
Închidere (matematică)
ruRussian
Замыкание (алгебра)
shSerbo-Croatian
Zatvorenost (matematika)
simpleSimple English
Closure (mathematics)
srSerbian
Затвореност (математика)
svSwedish
Slutenhet (matematik)
taTamil
அடைவுப் பண்பு
thThai
สมบัติการปิด
ukUkrainian
Замикання (математика)
viVietnamese
Đóng (phép toán)
zhChinese
闭包 (数学)

Popularity rank trends

Best Rank English:
#72196
09.2017
Global:
#92932
09.2017

AI rank trends

Best Rank English:
#6623
08.2003
Global:
#7478
08.2003

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 Closure from Wikipedia articles about Sigma-algebra, Magma, Closure, Closure and Group. Whereas reading the article about Closure people most often go to Wikipedia articles on Closure operator, Closure, Closure, Operation and Linear span.

Cumulative results of quality and popularity of the Wikipedia article

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

ja: 閉性

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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