Derived category

en

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Derived category

Quality:

Derived category - homotopy category of chain complexes in an abelian category with inverses to quasi-isomorphisms adjoined. Article “Derived category” in English Wikipedia has 32.9 points for quality (as of July 1, 2025). The article contains 9 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 “Derived category”, its content was written by 52 registered users of English Wikipedia and edited by 86 registered Wikipedia users in all languages.

The article is cited 124 times in English Wikipedia and cited 365 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #96524 in April 2005
  • Global: #149846 in February 2015

The highest popularity rank from 2008:

  • Local (English): #410040 in April 2009
  • Global: #644866 in April 2009

There are 7 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)
Derived category
32.9212
2Korean (ko)
유도 범주
22.3671
3German (de)
Derivierte Kategorie
21.4395
4Russian (ru)
Производная категория
20.0663
5Chinese (zh)
导出范畴
13.2332
6Japanese (ja)
導来圏
12.7914
7French (fr)
Catégorie dérivée
4.017
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 "Derived category" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Derived category
227 984
2Japanese (ja)
導来圏
39 331
3Chinese (zh)
导出范畴
9 206
4French (fr)
Catégorie dérivée
7 605
5German (de)
Derivierte Kategorie
2 477
6Korean (ko)
유도 범주
2 147
7Russian (ru)
Производная категория
619
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 "Derived category" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Derived category
1 845
2Japanese (ja)
導来圏
352
3Chinese (zh)
导出范畴
73
4French (fr)
Catégorie dérivée
42
5Russian (ru)
Производная категория
35
6German (de)
Derivierte Kategorie
20
7Korean (ko)
유도 범주
19
More...

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

The highest AI

Language versions of the article "Derived category" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Derived category
52
2Japanese (ja)
導来圏
15
3German (de)
Derivierte Kategorie
7
4French (fr)
Catégorie dérivée
7
5Korean (ko)
유도 범주
2
6Chinese (zh)
导出范畴
2
7Russian (ru)
Производная категория
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 "Derived category" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Derivierte Kategorie
0
2English (en)
Derived category
0
3French (fr)
Catégorie dérivée
0
4Japanese (ja)
導来圏
0
5Korean (ko)
유도 범주
0
6Russian (ru)
Производная категория
0
7Chinese (zh)
导出范畴
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 "Derived category" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Derived category
124
2French (fr)
Catégorie dérivée
96
3Japanese (ja)
導来圏
87
4Korean (ko)
유도 범주
23
5Chinese (zh)
导出范畴
16
6German (de)
Derivierte Kategorie
10
7Russian (ru)
Производная категория
9
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
deGerman
Derivierte Kategorie
enEnglish
Derived category
frFrench
Catégorie dérivée
jaJapanese
導来圏
koKorean
유도 범주
ruRussian
Производная категория
zhChinese
导出范畴

Popularity rank trends

Best Rank English:
#410040
04.2009
Global:
#644866
04.2009

AI rank trends

Best Rank English:
#96524
04.2005
Global:
#149846
02.2015

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Derived category from Wikipedia articles about Derived functor, Triangulated category, Alexander Grothendieck, Spectral sequence and Quasi-isomorphism. Whereas reading the article about Derived category people most often go to Wikipedia articles on Derived functor, Triangulated category, Localization of a category, Abelian category and Hyperhomology.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

On 28 January 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2025–26 UEFA Champions League, Nipah virus, Doomsday Clock, UEFA Champions League, Elena Rybakina, Donald Trump, 2026 European Men's Handball Championship, killing of Alex Pretti, Kristi Noem, deaths in 2026.

In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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