Injective module

en

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Injective module

Quality:

Injective module - module that makes certain exact sequences split. Article "Injective module" in English Wikipedia has 37.8 points for quality (as of July 1, 2025). The article contains 8 references and 24 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 "Injective module", its content was written by 53 registered users of English Wikipedia and edited by 127 registered Wikipedia users in all languages.

The article is cited 73 times in English Wikipedia and cited 310 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #26993 in February 2004
  • Global: #51878 in February 2004

The highest popularity rank from 2008:

  • Local (English): #405396 in May 2018
  • Global: #576153 in December 2014

There are 11 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)
Injective module
37.8095
2French (fr)
Module injectif
17.8573
3Hebrew (he)
מודול אינג'קטיבי
16.3413
4Korean (ko)
단사 가군
14.864
5Chinese (zh)
內射模
13.8301
6Ukrainian (uk)
Ін'єктивний модуль
7.7673
7Spanish (es)
Módulo inyectivo
7.6939
8Italian (it)
Modulo iniettivo
7.5603
9Persian (fa)
مدول تزریقی
7.2132
10Japanese (ja)
入射加群
6.752
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 "Injective module" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Injective module
280 445
2Chinese (zh)
內射模
26 067
3Spanish (es)
Módulo inyectivo
19 410
4Japanese (ja)
入射加群
15 777
5French (fr)
Module injectif
12 545
6Russian (ru)
Инъективный модуль
9 931
7Italian (it)
Modulo iniettivo
8 990
8Hebrew (he)
מודול אינג'קטיבי
2 806
9Korean (ko)
단사 가군
1 345
10Persian (fa)
مدول تزریقی
576
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 "Injective module" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Injective module
1 562
2Japanese (ja)
入射加群
131
3Chinese (zh)
內射模
84
4French (fr)
Module injectif
59
5Spanish (es)
Módulo inyectivo
31
6Russian (ru)
Инъективный модуль
28
7Italian (it)
Modulo iniettivo
23
8Persian (fa)
مدول تزریقی
14
9Korean (ko)
단사 가군
13
10Hebrew (he)
מודול אינג'קטיבי
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 "Injective module" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Injective module
53
2Italian (it)
Modulo iniettivo
19
3Spanish (es)
Módulo inyectivo
9
4French (fr)
Module injectif
9
5Chinese (zh)
內射模
9
6Hebrew (he)
מודול אינג'קטיבי
8
7Russian (ru)
Инъективный модуль
8
8Japanese (ja)
入射加群
4
9Persian (fa)
مدول تزریقی
3
10Ukrainian (uk)
Ін'єктивний 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 "Injective module" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Persian (fa)
مدول تزریقی
1
2English (en)
Injective module
0
3Spanish (es)
Módulo inyectivo
0
4French (fr)
Module injectif
0
5Hebrew (he)
מודול אינג'קטיבי
0
6Italian (it)
Modulo iniettivo
0
7Japanese (ja)
入射加群
0
8Korean (ko)
단사 가군
0
9Russian (ru)
Инъективный модуль
0
10Ukrainian (uk)
Ін'єктивний 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 "Injective module" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Injective module
73
2French (fr)
Module injectif
58
3Italian (it)
Modulo iniettivo
52
4Japanese (ja)
入射加群
40
5Hebrew (he)
מודול אינג'קטיבי
25
6Korean (ko)
단사 가군
21
7Chinese (zh)
內射模
11
8Spanish (es)
Módulo inyectivo
10
9Ukrainian (uk)
Ін'єктивний модуль
10
10Russian (ru)
Инъективный модуль
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
enEnglish
Injective module
esSpanish
Módulo inyectivo
faPersian
مدول تزریقی
frFrench
Module injectif
heHebrew
מודול אינג'קטיבי
itItalian
Modulo iniettivo
jaJapanese
入射加群
koKorean
단사 가군
ruRussian
Инъективный модуль
ukUkrainian
Ін'єктивний модуль
zhChinese
內射模

Popularity rank trends

Best Rank English:
#405396
05.2018
Global:
#576153
12.2014

AI rank trends

Best Rank English:
#26993
02.2004
Global:
#51878
02.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Injective module from Wikipedia articles about Projective module, Injective object, Gorenstein ring, Resolution and Divisible group. Whereas reading the article about Injective module people most often go to Wikipedia articles on Projective module, Split exact sequence, Divisible group, Injective hull and Injective object.

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

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