Finitely generated module

en

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Finitely generated module

Quality:

Finitely generated module - In algebra, a module that has a finite generating set. Article "Finitely generated module" in English Wikipedia has 25.7 points for quality (as of July 1, 2025). The article contains 6 references and 10 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Finitely generated module", its content was written by 58 registered users of English Wikipedia and edited by 111 registered Wikipedia users in all languages.

The article is cited 196 times in English Wikipedia and cited 508 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #13248 in October 2003
  • Global: #24864 in October 2003

The highest popularity rank from 2008:

  • Local (English): #339176 in March 2015
  • Global: #482958 in December 2014

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)
Finitely generated module
25.6793
2German (de)
Endliche Präsentierbarkeit (Modul)
25.2454
3Korean (ko)
유한 생성 가군
21.6451
4Japanese (ja)
有限生成加群
13.4722
5Ukrainian (uk)
Скінченнопороджений модуль
8.5658
6Russian (ru)
Конечнопорождённый модуль
8.1076
7Swedish (sv)
Ändligtgenererad modul
4.8676
8Hebrew (he)
נוצר סופית
1.5603
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 "Finitely generated module" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Finitely generated module
322 151
2Japanese (ja)
有限生成加群
33 386
3Hebrew (he)
נוצר סופית
23 699
4Russian (ru)
Конечнопорождённый модуль
15 679
5German (de)
Endliche Präsentierbarkeit (Modul)
11 224
6Korean (ko)
유한 생성 가군
3 182
7Swedish (sv)
Ändligtgenererad modul
1 748
8Ukrainian (uk)
Скінченнопороджений модуль
429
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 "Finitely generated module" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Finitely generated module
1 935
2Japanese (ja)
有限生成加群
279
3Russian (ru)
Конечнопорождённый модуль
66
4Hebrew (he)
נוצר סופית
48
5German (de)
Endliche Präsentierbarkeit (Modul)
44
6Korean (ko)
유한 생성 가군
24
7Swedish (sv)
Ändligtgenererad modul
6
8Ukrainian (uk)
Скінченнопороджений модуль
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 "Finitely generated module" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Finitely generated module
58
2Russian (ru)
Конечнопорождённый модуль
19
3Hebrew (he)
נוצר סופית
12
4Japanese (ja)
有限生成加群
7
5German (de)
Endliche Präsentierbarkeit (Modul)
5
6Swedish (sv)
Ändligtgenererad modul
4
7Korean (ko)
유한 생성 가군
3
8Ukrainian (uk)
Скінченнопороджений модуль
3
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 "Finitely generated module" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Endliche Präsentierbarkeit (Modul)
0
2English (en)
Finitely generated module
0
3Hebrew (he)
נוצר סופית
0
4Japanese (ja)
有限生成加群
0
5Korean (ko)
유한 생성 가군
0
6Russian (ru)
Конечнопорождённый модуль
0
7Swedish (sv)
Ändligtgenererad modul
0
8Ukrainian (uk)
Скінченнопороджений модуль
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 "Finitely generated module" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Finitely generated module
196
2Hebrew (he)
נוצר סופית
89
3Korean (ko)
유한 생성 가군
88
4Japanese (ja)
有限生成加群
55
5Ukrainian (uk)
Скінченнопороджений модуль
34
6Russian (ru)
Конечнопорождённый модуль
27
7Swedish (sv)
Ändligtgenererad modul
11
8German (de)
Endliche Präsentierbarkeit (Modul)
8
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
Endliche Präsentierbarkeit (Modul)
enEnglish
Finitely generated module
heHebrew
נוצר סופית
jaJapanese
有限生成加群
koKorean
유한 생성 가군
ruRussian
Конечнопорождённый модуль
svSwedish
Ändligtgenererad modul
ukUkrainian
Скінченнопороджений модуль

Popularity rank trends

Best Rank English:
#339176
03.2015
Global:
#482958
12.2014

AI rank trends

Best Rank English:
#13248
10.2003
Global:
#24864
10.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Finitely generated module from Wikipedia articles about Finitely presented, Ideal, Structure theorem for finitely generated modules over a principal ideal domain, Module and Projective module. Whereas reading the article about Finitely generated module people most often go to Wikipedia articles on Generating set of a module, Module, Nakayama lemma, Noetherian ring and Structure theorem for finitely generated modules over a principal ideal 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 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