Endlich erzeugte abelsche Gruppe

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Endlich erzeugte abelsche Gruppe

Quality:

Finitely generated abelian group - A commutative group where every element is the sum of elements from one finite subset. Article “Endlich erzeugte abelsche Gruppe” in German Wikipedia has 5 points for quality (as of July 1, 2025). The article contains 0 references and 4 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (German) language version.

Since the creation of article “Endlich erzeugte abelsche Gruppe”, its content was written by 40 registered users of German Wikipedia and edited by 216 registered Wikipedia users in all languages.

The article is cited 17 times in German Wikipedia and cited 487 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #3060 in March 2005
  • Global: #3831 in June 2002

The highest popularity rank from 2008:

  • Local (German): #142102 in November 2009
  • Global: #277922 in June 2024

There are 12 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 abelian group
32.4086
2Indonesian (id)
Grup abelian yang dihasilkan hingga
32.2995
3Chinese (zh)
有限生成阿貝爾群
26.5213
4Polish (pl)
Skończenie generowana grupa przemienna
18.1983
5French (fr)
Groupe abélien de type fini
15.8613
6Japanese (ja)
有限生成アーベル群
11.6586
7Vietnamese (vi)
Nhóm abel hữu hạn sinh
10.7763
8Hebrew (he)
חבורה אבלית נוצרת סופית
8.7194
9Estonian (et)
Lõplikult moodustatud Abeli rühm
5.2034
10Ukrainian (uk)
Скінченнопороджена абелева група
5.141
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 "Endlich erzeugte abelsche Gruppe" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Finitely generated abelian group
454 200
2Japanese (ja)
有限生成アーベル群
54 391
3German (de)
Endlich erzeugte abelsche Gruppe
50 532
4French (fr)
Groupe abélien de type fini
42 234
5Russian (ru)
Конечнопорождённая абелева группа
36 758
6Polish (pl)
Skończenie generowana grupa przemienna
26 161
7Hebrew (he)
חבורה אבלית נוצרת סופית
21 697
8Chinese (zh)
有限生成阿貝爾群
17 427
9Ukrainian (uk)
Скінченнопороджена абелева група
3 154
10Vietnamese (vi)
Nhóm abel hữu hạn sinh
1 212
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 "Endlich erzeugte abelsche Gruppe" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Finitely generated abelian group
2 582
2Japanese (ja)
有限生成アーベル群
346
3Russian (ru)
Конечнопорождённая абелева группа
168
4Chinese (zh)
有限生成阿貝爾群
122
5French (fr)
Groupe abélien de type fini
114
6German (de)
Endlich erzeugte abelsche Gruppe
87
7Polish (pl)
Skończenie generowana grupa przemienna
81
8Hebrew (he)
חבורה אבלית נוצרת סופית
72
9Estonian (et)
Lõplikult moodustatud Abeli rühm
11
10Indonesian (id)
Grup abelian yang dihasilkan hingga
8
More...

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

The highest AI

Language versions of the article "Endlich erzeugte abelsche Gruppe" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Finitely generated abelian group
56
2German (de)
Endlich erzeugte abelsche Gruppe
40
3French (fr)
Groupe abélien de type fini
37
4Hebrew (he)
חבורה אבלית נוצרת סופית
21
5Russian (ru)
Конечнопорождённая абелева группа
18
6Polish (pl)
Skończenie generowana grupa przemienna
12
7Japanese (ja)
有限生成アーベル群
10
8Chinese (zh)
有限生成阿貝爾群
7
9Ukrainian (uk)
Скінченнопороджена абелева група
5
10Vietnamese (vi)
Nhóm abel hữu hạn sinh
5
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 "Endlich erzeugte abelsche Gruppe" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Endlich erzeugte abelsche Gruppe
0
2English (en)
Finitely generated abelian group
0
3Estonian (et)
Lõplikult moodustatud Abeli rühm
0
4French (fr)
Groupe abélien de type fini
0
5Hebrew (he)
חבורה אבלית נוצרת סופית
0
6Indonesian (id)
Grup abelian yang dihasilkan hingga
0
7Japanese (ja)
有限生成アーベル群
0
8Polish (pl)
Skończenie generowana grupa przemienna
0
9Russian (ru)
Конечнопорождённая абелева группа
0
10Ukrainian (uk)
Скінченнопороджена абелева група
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 "Endlich erzeugte abelsche Gruppe" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
有限生成阿貝爾群
109
2Polish (pl)
Skończenie generowana grupa przemienna
107
3English (en)
Finitely generated abelian group
89
4Japanese (ja)
有限生成アーベル群
52
5French (fr)
Groupe abélien de type fini
33
6Russian (ru)
Конечнопорождённая абелева группа
24
7Ukrainian (uk)
Скінченнопороджена абелева група
21
8Hebrew (he)
חבורה אבלית נוצרת סופית
19
9German (de)
Endlich erzeugte abelsche Gruppe
17
10Vietnamese (vi)
Nhóm abel hữu hạn sinh
7
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
Endlich erzeugte abelsche Gruppe
enEnglish
Finitely generated abelian group
etEstonian
Lõplikult moodustatud Abeli rühm
frFrench
Groupe abélien de type fini
heHebrew
חבורה אבלית נוצרת סופית
idIndonesian
Grup abelian yang dihasilkan hingga
jaJapanese
有限生成アーベル群
plPolish
Skończenie generowana grupa przemienna
ruRussian
Конечнопорождённая абелева группа
ukUkrainian
Скінченнопороджена абелева група
viVietnamese
Nhóm abel hữu hạn sinh
zhChinese
有限生成阿貝爾群

Popularity rank trends

Best Rank German:
#142102
11.2009
Global:
#277922
06.2024

AI rank trends

Best Rank German:
#3060
03.2005
Global:
#3831
06.2002

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 Finitely generated abelian group from Wikipedia articles about Abelian group, Structure theorem for finitely generated modules over a principal ideal domain, Klein four-group, Finitely generated group and Cyclic group. Whereas reading the article about Finitely generated abelian group people most often go to Wikipedia articles on Abelian group, Structure theorem for finitely generated modules over a principal ideal domain, Direct sum, Primary cyclic group and Chinese remainder theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In German Wikipedia the most popular articles on that day were: Oscarverleihung 2026, One Battle After Another, Blood & Sinners, Michael B. Jordan, Jessie Buckley, Jürgen Habermas, Sean Penn, Banksy, Liste der größten Auslegerbrücken, Amy Madigan.

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