Simple module

en

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Simple module

Quality:

Simple module - module over a ring with no nontrivial submodules. Article “Simple module” in English Wikipedia has 15.5 points for quality (as of July 1, 2025). The article contains 3 references and 6 sections.

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

Since the creation of article “Simple module”, its content was written by 29 registered users of English Wikipedia and edited by 116 registered Wikipedia users in all languages.

The article is cited 70 times in English Wikipedia and cited 440 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #4151 in May 2002
  • Global: #5176 in April 2002

The highest popularity rank from 2008:

  • Local (English): #555371 in May 2010
  • Global: #701449 in April 2015

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 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)
Simple module
15.4839
2Russian (ru)
Простой модуль
13.7359
3French (fr)
Module simple
11.7319
4Japanese (ja)
単純加群
10.818
5Romanian (ro)
Modul simplu
10.2827
6Chinese (zh)
單模
5.5865
7Korean (ko)
단순 가군
5.0914
8German (de)
Einfacher Modul
4.9403
9Ukrainian (uk)
Простий модуль
4.2332
10Spanish (es)
Módulo simple
4.0142
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 "Simple module" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Simple module
178 549
2German (de)
Einfacher Modul
18 894
3French (fr)
Module simple
13 613
4Japanese (ja)
単純加群
12 844
5Chinese (zh)
單模
12 244
6Russian (ru)
Простой модуль
10 408
7Portuguese (pt)
Módulo simples
5 655
8Korean (ko)
단순 가군
5 026
9Finnish (fi)
Yksinkertainen moduli
4 154
10Spanish (es)
Módulo simple
4 059
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 "Simple module" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Simple module
583
2Japanese (ja)
単純加群
77
3Chinese (zh)
單模
73
4German (de)
Einfacher Modul
51
5Russian (ru)
Простой модуль
48
6Korean (ko)
단순 가군
35
7French (fr)
Module simple
34
8Spanish (es)
Módulo simple
24
9Portuguese (pt)
Módulo simples
17
10Persian (fa)
مدول ساده
12
More...

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

The highest AI

Language versions of the article "Simple module" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Simple module
29
2French (fr)
Module simple
21
3German (de)
Einfacher Modul
15
4Hebrew (he)
מודול פשוט
12
5Swedish (sv)
Enkel modul
7
6Chinese (zh)
單模
6
7Russian (ru)
Простой модуль
5
8Finnish (fi)
Yksinkertainen moduli
4
9Japanese (ja)
単純加群
4
10Ukrainian (uk)
Простий модуль
4
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 "Simple module" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Einfacher Modul
0
2English (en)
Simple module
0
3Spanish (es)
Módulo simple
0
4Persian (fa)
مدول ساده
0
5Finnish (fi)
Yksinkertainen moduli
0
6French (fr)
Module simple
0
7Hebrew (he)
מודול פשוט
0
8Japanese (ja)
単純加群
0
9Korean (ko)
단순 가군
0
10Portuguese (pt)
Módulo simples
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 "Simple module" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
單模
104
2English (en)
Simple module
70
3Korean (ko)
단순 가군
70
4French (fr)
Module simple
68
5Japanese (ja)
単純加群
41
6Hebrew (he)
מודול פשוט
21
7German (de)
Einfacher Modul
12
8Russian (ru)
Простой модуль
12
9Ukrainian (uk)
Простий модуль
10
10Romanian (ro)
Modul simplu
9
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
Einfacher Modul
enEnglish
Simple module
esSpanish
Módulo simple
faPersian
مدول ساده
fiFinnish
Yksinkertainen moduli
frFrench
Module simple
heHebrew
מודול פשוט
jaJapanese
単純加群
koKorean
단순 가군
ptPortuguese
Módulo simples
roRomanian
Modul simplu
ruRussian
Простой модуль
svSwedish
Enkel modul
ukUkrainian
Простий модуль
zhChinese
單模

Popularity rank trends

Best Rank English:
#555371
05.2010
Global:
#701449
04.2015

AI rank trends

Best Rank English:
#4151
05.2002
Global:
#5176
04.2002

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 Simple module from Wikipedia articles about Jacobson radical, Semisimple module, Schurs lemma, Module and Irreducible representation. Whereas reading the article about Simple module people most often go to Wikipedia articles on Module, Cyclic module, Semisimple module, Schurs lemma and Length.

Cumulative results of quality and popularity of the Wikipedia article

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

zh: 單模

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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