Torsion-free module

en

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Torsion-free module

Quality:

Torsion-free module - module over a ring such that zero is the only element annihilated by a regular element of the ring. Article “Torsion-free module” in English Wikipedia has 12.4 points for quality (as of July 1, 2025). The article contains 1 references and 6 sections.

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

Since the creation of article “Torsion-free module”, its content was written by 10 registered users of English Wikipedia and edited by 28 registered Wikipedia users in all languages.

The article is cited 23 times in English Wikipedia and cited 59 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #293008 in December 2013
  • Global: #321357 in February 2022

The highest popularity rank from 2008:

  • Local (English): #679517 in January 2021
  • Global: #1133427 in January 2021

There are 6 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
1Korean (ko)
꼬임 없는 가군
29.0271
2Galician (gl)
Módulo libre de torsión
13.0329
3English (en)
Torsion-free module
12.3914
4Japanese (ja)
ねじれなし加群
6.195
5Russian (ru)
Модуль без кручения
4.3694
6Ukrainian (uk)
Модуль без кручень
4.0277
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 "Torsion-free module" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Torsion-free module
90 570
2Japanese (ja)
ねじれなし加群
7 618
3Russian (ru)
Модуль без кручения
5 339
4Korean (ko)
꼬임 없는 가군
1 126
5Ukrainian (uk)
Модуль без кручень
198
6Galician (gl)
Módulo libre de torsión
65
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 "Torsion-free module" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Torsion-free module
580
2Japanese (ja)
ねじれなし加群
87
3Russian (ru)
Модуль без кручения
13
4Korean (ko)
꼬임 없는 가군
10
5Ukrainian (uk)
Модуль без кручень
7
6Galician (gl)
Módulo libre de torsión
5
More...

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

The highest AI

Language versions of the article "Torsion-free module" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Torsion-free module
10
2Russian (ru)
Модуль без кручения
8
3Japanese (ja)
ねじれなし加群
5
4Galician (gl)
Módulo libre de torsión
2
5Ukrainian (uk)
Модуль без кручень
2
6Korean (ko)
꼬임 없는 가군
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 "Torsion-free module" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Torsion-free module
0
2Galician (gl)
Módulo libre de torsión
0
3Japanese (ja)
ねじれなし加群
0
4Korean (ko)
꼬임 없는 가군
0
5Russian (ru)
Модуль без кручения
0
6Ukrainian (uk)
Модуль без кручень
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 "Torsion-free module" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Torsion-free module
23
2Korean (ko)
꼬임 없는 가군
14
3Japanese (ja)
ねじれなし加群
9
4Russian (ru)
Модуль без кручения
7
5Ukrainian (uk)
Модуль без кручень
6
6Galician (gl)
Módulo libre de torsión
0
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
enEnglish
Torsion-free module
glGalician
Módulo libre de torsión
jaJapanese
ねじれなし加群
koKorean
꼬임 없는 가군
ruRussian
Модуль без кручения
ukUkrainian
Модуль без кручень

Popularity rank trends

Best Rank English:
#679517
01.2021
Global:
#1133427
01.2021

AI rank trends

Best Rank English:
#293008
12.2013
Global:
#321357
02.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Torsion-free module from Wikipedia articles about Torsion-free, Flat module, Torsion, Free module and Projective module. Whereas reading the article about Torsion-free module people most often go to Wikipedia articles on Torsion, Torsionless module, Zero divisor, Absorbing element and Torsion-free abelian group.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 5 March 2026

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In English Wikipedia the most popular articles on that day were: Markwayne Mullin, Kristi Noem, 2026 Iran war, Ali Khamenei, Lou Holtz, Men's T20 World Cup, Iran, IRIS Dena, Corey Lewandowski, Deaths in 2026.

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