Integrally closed domain

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Integrally closed domain

Quality:

Integrally closed domain - mathematical concept. Article “Integrally closed domain” in English Wikipedia has 30.9 points for quality (as of July 1, 2025). The article contains 16 references and 10 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.63 points.

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 “Integrally closed domain”, its content was written by 48 registered users of English Wikipedia and edited by 80 registered Wikipedia users in all languages.

The article is cited 97 times in English Wikipedia and cited 184 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #97935 in September 2011
  • Global: #252004 in August 2011

The highest popularity rank from 2008:

  • Local (English): #265813 in January 2015
  • Global: #434413 in January 2015

There are 8 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)
Integrally closed domain
30.9304
2Ukrainian (uk)
Цілозамкнута область
20.2972
3French (fr)
Anneau intégralement clos
12.15
4German (de)
Normalität (kommutative Algebra)
6.464
5Japanese (ja)
整閉整域
2.9452
6Portuguese (pt)
Domínio integralmente fechado
1.8506
7Persian (fa)
حوزه بسته صحیح
1.2444
8Czech (cs)
Celistvě uzavřený obor
1.2032
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 "Integrally closed domain" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Integrally closed domain
187 233
2Japanese (ja)
整閉整域
26 021
3German (de)
Normalität (kommutative Algebra)
21 501
4French (fr)
Anneau intégralement clos
11 485
5Portuguese (pt)
Domínio integralmente fechado
3 150
6Czech (cs)
Celistvě uzavřený obor
756
7Ukrainian (uk)
Цілозамкнута область
609
8Persian (fa)
حوزه بسته صحیح
465
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 "Integrally closed domain" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Integrally closed domain
1 629
2Japanese (ja)
整閉整域
244
3German (de)
Normalität (kommutative Algebra)
94
4French (fr)
Anneau intégralement clos
59
5Portuguese (pt)
Domínio integralmente fechado
13
6Czech (cs)
Celistvě uzavřený obor
8
7Persian (fa)
حوزه بسته صحیح
8
8Ukrainian (uk)
Цілозамкнута область
6
More...

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

The highest AI

Language versions of the article "Integrally closed domain" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Integrally closed domain
48
2German (de)
Normalität (kommutative Algebra)
10
3French (fr)
Anneau intégralement clos
9
4Ukrainian (uk)
Цілозамкнута область
7
5Portuguese (pt)
Domínio integralmente fechado
3
6Czech (cs)
Celistvě uzavřený obor
1
7Persian (fa)
حوزه بسته صحیح
1
8Japanese (ja)
整閉整域
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 "Integrally closed domain" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Czech (cs)
Celistvě uzavřený obor
0
2German (de)
Normalität (kommutative Algebra)
0
3English (en)
Integrally closed domain
0
4Persian (fa)
حوزه بسته صحیح
0
5French (fr)
Anneau intégralement clos
0
6Japanese (ja)
整閉整域
0
7Portuguese (pt)
Domínio integralmente fechado
0
8Ukrainian (uk)
Цілозамкнута область
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 "Integrally closed domain" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Integrally closed domain
97
2Japanese (ja)
整閉整域
26
3French (fr)
Anneau intégralement clos
20
4Persian (fa)
حوزه بسته صحیح
16
5Ukrainian (uk)
Цілозамкнута область
13
6German (de)
Normalität (kommutative Algebra)
10
7Portuguese (pt)
Domínio integralmente fechado
2
8Czech (cs)
Celistvě uzavřený obor
0
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
csCzech
Celistvě uzavřený obor
deGerman
Normalität (kommutative Algebra)
enEnglish
Integrally closed domain
faPersian
حوزه بسته صحیح
frFrench
Anneau intégralement clos
jaJapanese
整閉整域
ptPortuguese
Domínio integralmente fechado
ukUkrainian
Цілозамкнута область

Popularity rank trends

Best Rank English:
#265813
01.2015
Global:
#434413
01.2015

AI rank trends

Best Rank English:
#97935
09.2011
Global:
#252004
08.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Integrally closed domain from Wikipedia articles about Integral domain, Dedekind domain, Unique factorization domain, Normal scheme and Principal ideal domain. Whereas reading the article about Integrally closed domain people most often go to Wikipedia articles on Integral element, GCD domain, Integral domain, Field of fractions and Unique factorization domain.

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