Modulgarbe

de

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Modulgarbe

Quality:

Sheaf of modules - sheaf of abelian groups, whose sections are modules over a sheaf of rings. Article "Modulgarbe" in German Wikipedia has 2.2 points for quality (as of July 1, 2025). The article contains 0 references and 2 sections.

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

Since the creation of article "Modulgarbe", its content was written by 7 registered users of German Wikipedia and edited by 62 registered Wikipedia users in all languages.

The article is cited 6 times in German Wikipedia and cited 177 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #59450 in August 2006
  • Global: #137906 in January 2015

The highest popularity rank from 2008:

  • Local (German): #668065 in January 2008
  • Global: #991225 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
1Chinese (zh)
模层
41.3937
2English (en)
Sheaf of modules
32.5579
3Japanese (ja)
加群の層
15.9612
4Korean (ko)
가군층
6.1557
5French (fr)
Faisceau (de modules)
4.8952
6Russian (ru)
Пучок модулей
3.6549
7Ukrainian (uk)
Пучок модулів
3.4447
8German (de)
Modulgarbe
2.221
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 "Modulgarbe" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Sheaf of modules
89 799
2French (fr)
Faisceau (de modules)
16 232
3Japanese (ja)
加群の層
10 766
4German (de)
Modulgarbe
5 090
5Russian (ru)
Пучок модулей
4 674
6Korean (ko)
가군층
1 175
7Chinese (zh)
模层
601
8Ukrainian (uk)
Пучок модулів
105
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 "Modulgarbe" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Sheaf of modules
717
2Japanese (ja)
加群の層
110
3French (fr)
Faisceau (de modules)
69
4Chinese (zh)
模层
28
5German (de)
Modulgarbe
13
6Russian (ru)
Пучок модулей
10
7Korean (ko)
가군층
2
8Ukrainian (uk)
Пучок модулів
2
More...

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

The highest AI

Language versions of the article "Modulgarbe" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Sheaf of modules
38
2German (de)
Modulgarbe
7
3French (fr)
Faisceau (de modules)
7
4Japanese (ja)
加群の層
4
5Korean (ko)
가군층
2
6Ukrainian (uk)
Пучок модулів
2
7Russian (ru)
Пучок модулей
1
8Chinese (zh)
模层
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 "Modulgarbe" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Sheaf of modules
1
2German (de)
Modulgarbe
0
3French (fr)
Faisceau (de modules)
0
4Japanese (ja)
加群の層
0
5Korean (ko)
가군층
0
6Russian (ru)
Пучок модулей
0
7Ukrainian (uk)
Пучок модулів
0
8Chinese (zh)
模层
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 "Modulgarbe" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Sheaf of modules
72
2Korean (ko)
가군층
39
3Russian (ru)
Пучок модулей
19
4French (fr)
Faisceau (de modules)
18
5Japanese (ja)
加群の層
13
6Ukrainian (uk)
Пучок модулів
8
7German (de)
Modulgarbe
6
8Chinese (zh)
模层
2
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2025:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2025:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Modulgarbe
enEnglish
Sheaf of modules
frFrench
Faisceau (de modules)
jaJapanese
加群の層
koKorean
가군층
ruRussian
Пучок модулей
ukUkrainian
Пучок модулів
zhChinese
模层

Popularity rank trends

Best Rank German:
#668065
01.2008
Global:
#991225
01.2015

AI rank trends

Best Rank German:
#59450
08.2006
Global:
#137906
01.2015

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Sheaf of modules from Wikipedia articles about Coherent sheaf, Cartans theorems A and B, Ringed space, Tensor product and Sheaf. Whereas reading the article about Sheaf of modules people most often go to Wikipedia articles on Sheaf, Ringed space, Coherent sheaf, Proj construction and Locally ringed space.

Cumulative results of quality and popularity of the Wikipedia article

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

zh: 模层

News from 12 August 2025

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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