Chain complex

en

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Chain complex

Quality:

Chain complex - in homological algebra, a structure consisting of a sequence of modules and a sequence of homomorphisms between consecutive modules such that the image of each homomorphism is included in the kernel of the next. Article “Chain complex” in English Wikipedia has 27.5 points for quality (as of July 1, 2025). The article contains 1 references and 11 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 “Chain complex”, its content was written by 76 registered users of English Wikipedia and edited by 258 registered Wikipedia users in all languages.

The article is cited 220 times in English Wikipedia and cited 1022 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3345 in October 2002
  • Global: #5892 in October 2002

The highest popularity rank from 2008:

  • Local (English): #255894 in November 2024
  • Global: #316600 in May 2025

There are 17 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)
Chain complex
27.5431
2Korean (ko)
사슬 복합체
23.9532
3Polish (pl)
Kompleks łańcuchowy
22.2193
4German (de)
Kettenkomplex
20.7
5Chinese (zh)
链复形
16.1113
6Russian (ru)
Цепной комплекс
14.1365
7Ukrainian (uk)
Ланцюговий комплекс
12.2916
8Portuguese (pt)
Complexo de cadeias
10.582
9Catalan (ca)
Complex de cadenes
9.952
10Spanish (es)
Complejo de cadenas
8.5757
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 "Chain complex" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Chain complex
541 913
2German (de)
Kettenkomplex
71 657
3Japanese (ja)
鎖複体
63 653
4Spanish (es)
Complejo de cadenas
34 894
5French (fr)
Complexe différentiel
26 923
6Russian (ru)
Цепной комплекс
24 088
7Chinese (zh)
链复形
19 274
8Korean (ko)
사슬 복합체
17 182
9Polish (pl)
Kompleks łańcuchowy
11 242
10Italian (it)
Complesso di catene
9 514
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 "Chain complex" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Chain complex
3 414
2Japanese (ja)
鎖複体
640
3German (de)
Kettenkomplex
171
4Russian (ru)
Цепной комплекс
132
5French (fr)
Complexe différentiel
122
6Spanish (es)
Complejo de cadenas
108
7Chinese (zh)
链复形
97
8Korean (ko)
사슬 복합체
56
9Italian (it)
Complesso di catene
42
10Polish (pl)
Kompleks łańcuchowy
29
More...

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

The highest AI

Language versions of the article "Chain complex" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Chain complex
76
2German (de)
Kettenkomplex
39
3Dutch (nl)
Ketencomplex
18
4French (fr)
Complexe différentiel
15
5Hebrew (he)
קומפלקס שרשרת
14
6Russian (ru)
Цепной комплекс
14
7Spanish (es)
Complejo de cadenas
13
8Italian (it)
Complesso di catene
13
9Polish (pl)
Kompleks łańcuchowy
12
10Korean (ko)
사슬 복합체
9
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 "Chain complex" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Complex de cadenes
0
2German (de)
Kettenkomplex
0
3English (en)
Chain complex
0
4Esperanto (eo)
Ĉenkomplekso
0
5Spanish (es)
Complejo de cadenas
0
6French (fr)
Complexe différentiel
0
7Hebrew (he)
קומפלקס שרשרת
0
8Italian (it)
Complesso di catene
0
9Japanese (ja)
鎖複体
0
10Korean (ko)
사슬 복합체
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 "Chain complex" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Chain complex
220
2German (de)
Kettenkomplex
164
3Italian (it)
Complesso di catene
140
4French (fr)
Complexe différentiel
138
5Korean (ko)
사슬 복합체
94
6Japanese (ja)
鎖複体
71
7Spanish (es)
Complejo de cadenas
40
8Chinese (zh)
链复形
37
9Russian (ru)
Цепной комплекс
29
10Ukrainian (uk)
Ланцюговий комплекс
26
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
caCatalan
Complex de cadenes
deGerman
Kettenkomplex
enEnglish
Chain complex
eoEsperanto
Ĉenkomplekso
esSpanish
Complejo de cadenas
frFrench
Complexe différentiel
heHebrew
קומפלקס שרשרת
itItalian
Complesso di catene
jaJapanese
鎖複体
koKorean
사슬 복합체
nlDutch
Ketencomplex
plPolish
Kompleks łańcuchowy
ptPortuguese
Complexo de cadeias
ruRussian
Цепной комплекс
svSwedish
Kedjekomplex
ukUkrainian
Ланцюговий комплекс
zhChinese
链复形

Popularity rank trends

Best Rank English:
#255894
11.2024
Global:
#316600
05.2025

AI rank trends

Best Rank English:
#3345
10.2002
Global:
#5892
10.2002

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 Chain complex from Wikipedia articles about Homology, Cohomology, Homological algebra, De Rham cohomology and Singular homology. Whereas reading the article about Chain complex people most often go to Wikipedia articles on Singular homology, Homology, Exact sequence, Kernel and Abelian group.

Cumulative results of quality and popularity of the Wikipedia article

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

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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