Grupo abeliano livre

pt

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Grupo abeliano livre

Quality:

Free abelian group - Commutative group whose elements are unique integer combinations of basis elements. Article "Grupo abeliano livre" in Portuguese Wikipedia has 14.8 points for quality (as of November 1, 2023). The article contains 3 references and 4 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 "Grupo abeliano livre", its content was written by 2 registered users of Portuguese Wikipedia and edited by 181 registered Wikipedia users in all languages.

The article is cited 7 times in Portuguese Wikipedia and cited 478 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Portuguese): #49112 in September 2014
  • Global: #43687 in June 2003

The highest popularity rank from 2008:

  • Local (Portuguese): #229716 in October 2009
  • Global: #386654 in July 2008

There are 15 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1Chinese (zh)
自由阿贝尔群
75.2563
2English (en)
Free abelian group
69.1636
3Indonesian (id)
Grup abelian bebas
58.6602
4Japanese (ja)
自由アーベル群
29.1639
5Russian (ru)
Свободная абелева группа
24.9856
6Portuguese (pt)
Grupo abeliano livre
14.8303
7German (de)
Freie abelsche Gruppe
14.2848
8Spanish (es)
Grupo abeliano libre
12.7626
9Polish (pl)
Grupa abelowa wolna
11.457
10Arabic (ar)
زمرة أبيلية حرة
10.9805
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 "Grupo abeliano livre" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Free abelian group
349 133
2German (de)
Freie abelsche Gruppe
44 574
3Spanish (es)
Grupo abeliano libre
26 933
4French (fr)
Groupe abélien libre
23 400
5Polish (pl)
Grupa abelowa wolna
21 286
6Japanese (ja)
自由アーベル群
21 131
7Russian (ru)
Свободная абелева группа
18 146
8Hebrew (he)
חבורה אבלית חופשית
6 058
9Portuguese (pt)
Grupo abeliano livre
5 192
10Arabic (ar)
زمرة أبيلية حرة
4 166
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in October 2023

The most popular language versions of the article "Grupo abeliano livre" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Free abelian group
2 724
2Japanese (ja)
自由アーベル群
262
3French (fr)
Groupe abélien libre
247
4Russian (ru)
Свободная абелева группа
189
5German (de)
Freie abelsche Gruppe
171
6Spanish (es)
Grupo abeliano libre
112
7Chinese (zh)
自由阿贝尔群
80
8Polish (pl)
Grupa abelowa wolna
79
9Korean (ko)
자유 아벨 군
28
10Indonesian (id)
Grup abelian bebas
16
More...

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

The highest AI

Language versions of the article "Grupo abeliano livre" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Free abelian group
63
2German (de)
Freie abelsche Gruppe
31
3Hebrew (he)
חבורה אבלית חופשית
23
4French (fr)
Groupe abélien libre
11
5Dutch (nl)
Vrije abelse groep
10
6Polish (pl)
Grupa abelowa wolna
8
7Arabic (ar)
زمرة أبيلية حرة
6
8Spanish (es)
Grupo abeliano libre
6
9Japanese (ja)
自由アーベル群
6
10Russian (ru)
Свободная абелева группа
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 October 2023

Language versions of the article "Grupo abeliano livre" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Arabic (ar)
زمرة أبيلية حرة
0
2German (de)
Freie abelsche Gruppe
0
3English (en)
Free abelian group
0
4Spanish (es)
Grupo abeliano libre
0
5French (fr)
Groupe abélien libre
0
6Hebrew (he)
חבורה אבלית חופשית
0
7Indonesian (id)
Grup abelian bebas
0
8Japanese (ja)
自由アーベル群
0
9Korean (ko)
자유 아벨 군
0
10Dutch (nl)
Vrije abelse groep
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 "Grupo abeliano livre" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Free abelian group
124
2French (fr)
Groupe abélien libre
51
3Japanese (ja)
自由アーベル群
50
4Korean (ko)
자유 아벨 군
46
5German (de)
Freie abelsche Gruppe
44
6Arabic (ar)
زمرة أبيلية حرة
40
7Ukrainian (uk)
Вільна абелева група
25
8Spanish (es)
Grupo abeliano libre
19
9Russian (ru)
Свободная абелева группа
19
10Hebrew (he)
חבורה אבלית חופשית
14
More...

Scores

Estimated value for Wikipedia:
Portuguese:
Global:
Popularity in October 2023:
Portuguese:
Global:
Popularity in all years:
Portuguese:
Global:
Authors in October 2023:
Portuguese:
Global:
Registered authors in all years:
Portuguese:
Global:
Citations:
Portuguese:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
زمرة أبيلية حرة
deGerman
Freie abelsche Gruppe
enEnglish
Free abelian group
esSpanish
Grupo abeliano libre
frFrench
Groupe abélien libre
heHebrew
חבורה אבלית חופשית
idIndonesian
Grup abelian bebas
jaJapanese
自由アーベル群
koKorean
자유 아벨 군
nlDutch
Vrije abelse groep
plPolish
Grupa abelowa wolna
ptPortuguese
Grupo abeliano livre
ruRussian
Свободная абелева группа
ukUkrainian
Вільна абелева група
zhChinese
自由阿贝尔群

Popularity rank trends

Best Rank Portuguese:
#229716
10.2009
Global:
#386654
07.2008

AI rank trends

Best Rank Portuguese:
#49112
09.2014
Global:
#43687
06.2003

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Free abelian group from Wikipedia articles about Free group, Free module, Lattice, Formal sum and Singular homology. Whereas reading the article about Free abelian group people most often go to Wikipedia articles on Free module, Abelian group, Free group, Chain and Integer lattice.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 11 June 2024

On 11 June 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: UEFA Euro 2024, ChatGPT, 2026 FIFA World Cup qualification (AFC), Cristiano Ronaldo, YouTube, UEFA European Championship, deaths in 2024, Malawi, 2024 European Athletics Championships, Hunter Biden.

In Portuguese Wikipedia the most popular articles on that day were: ChatGPT, Crise de 25 de Novembro de 1975, Jogo do bicho, Cristiano Ronaldo, Dia dos Namorados, Campeonato Europeu de Futebol, Sony Channel, YouTube, Pablo Marçal, Canal Brasil.

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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information