Ascending chain condition

en

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Ascending chain condition

Quality:

Ascending chain condition - condition in commutative algebra. Article “Ascending chain condition” in English Wikipedia has 23.3 points for quality (as of July 1, 2026). The article contains 6 references and 8 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 “Ascending chain condition”, its content was written by 48 registered users of English Wikipedia and edited by 104 registered Wikipedia users in all languages.

The article is cited 81 times in English Wikipedia and cited 273 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #1785 in January 2002
  • Global: #2112 in January 2002

The highest popularity rank from 2008:

  • Local (English): #207905 in March 2015
  • Global: #280654 in March 2015

There are 11 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)
Ascending chain condition
23.2921
2Romanian (ro)
Condiția lanțului ascendent
22.648
3French (fr)
Conditions de chaîne
17.3198
4Spanish (es)
Condición de la cadena ascendente
14.6451
5Vietnamese (vi)
Các điều kiện dãy
10.182
6Japanese (ja)
昇鎖条件
8.8794
7Hebrew (he)
תנאי שרשרת (מתמטיקה)
8.147
8Dutch (nl)
Ketenvoorwaarde
6.7774
9Italian (it)
Condizione della catena ascendente
6.3572
10Korean (ko)
사슬 조건
6.2571
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 "Ascending chain condition" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Ascending chain condition
213 017
2French (fr)
Conditions de chaîne
16 669
3Japanese (ja)
昇鎖条件
13 577
4Italian (it)
Condizione della catena ascendente
12 058
5Spanish (es)
Condición de la cadena ascendente
10 216
6Chinese (zh)
升链条件
9 683
7Dutch (nl)
Ketenvoorwaarde
4 444
8Korean (ko)
사슬 조건
3 602
9Hebrew (he)
תנאי שרשרת (מתמטיקה)
3 136
10Vietnamese (vi)
Các điều kiện dãy
306
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 "Ascending chain condition" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Ascending chain condition
650
2Japanese (ja)
昇鎖条件
87
3Chinese (zh)
升链条件
54
4French (fr)
Conditions de chaîne
35
5Korean (ko)
사슬 조건
30
6Spanish (es)
Condición de la cadena ascendente
20
7Italian (it)
Condizione della catena ascendente
17
8Romanian (ro)
Condiția lanțului ascendent
13
9Hebrew (he)
תנאי שרשרת (מתמטיקה)
12
10Dutch (nl)
Ketenvoorwaarde
10
More...

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

The highest AI

Language versions of the article "Ascending chain condition" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Ascending chain condition
48
2Italian (it)
Condizione della catena ascendente
12
3Dutch (nl)
Ketenvoorwaarde
10
4French (fr)
Conditions de chaîne
9
5Spanish (es)
Condición de la cadena ascendente
6
6Hebrew (he)
תנאי שרשרת (מתמטיקה)
6
7Japanese (ja)
昇鎖条件
4
8Chinese (zh)
升链条件
4
9Korean (ko)
사슬 조건
2
10Vietnamese (vi)
Các điều kiện dãy
2
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 "Ascending chain condition" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Ascending chain condition
0
2Spanish (es)
Condición de la cadena ascendente
0
3French (fr)
Conditions de chaîne
0
4Hebrew (he)
תנאי שרשרת (מתמטיקה)
0
5Italian (it)
Condizione della catena ascendente
0
6Japanese (ja)
昇鎖条件
0
7Korean (ko)
사슬 조건
0
8Dutch (nl)
Ketenvoorwaarde
0
9Romanian (ro)
Condiția lanțului ascendent
0
10Vietnamese (vi)
Các điều kiện dãy
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 "Ascending chain condition" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Ascending chain condition
81
2French (fr)
Conditions de chaîne
63
3Japanese (ja)
昇鎖条件
31
4Korean (ko)
사슬 조건
26
5Hebrew (he)
תנאי שרשרת (מתמטיקה)
23
6Chinese (zh)
升链条件
13
7Romanian (ro)
Condiția lanțului ascendent
11
8Italian (it)
Condizione della catena ascendente
10
9Spanish (es)
Condición de la cadena ascendente
8
10Dutch (nl)
Ketenvoorwaarde
6
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
enEnglish
Ascending chain condition
esSpanish
Condición de la cadena ascendente
frFrench
Conditions de chaîne
heHebrew
תנאי שרשרת (מתמטיקה)
itItalian
Condizione della catena ascendente
jaJapanese
昇鎖条件
koKorean
사슬 조건
nlDutch
Ketenvoorwaarde
roRomanian
Condiția lanțului ascendent
viVietnamese
Các điều kiện dãy
zhChinese
升链条件

Popularity rank trends

Best Rank English:
#207905
03.2015
Global:
#280654
03.2015

AI rank trends

Best Rank English:
#1785
01.2002
Global:
#2112
01.2002

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 Ascending chain condition from Wikipedia articles about Noetherian ring, Artinian ring, Emmy Noether, Noetherian module and Artinian module. Whereas reading the article about Ascending chain condition people most often go to Wikipedia articles on Noetherian ring, Artinian, Noetherian, Ascending chain condition on principal ideals and Axiom of dependent choice.

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