Rank–nullity theorem

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Rank–nullity theorem

Quality:

Rank–nullity theorem - theorem. Article "Rank–nullity theorem" in English Wikipedia has 32.1 points for quality (as of July 1, 2025). The article contains 10 references and 11 sections.

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

Since the creation of article "Rank–nullity theorem", its content was written by 96 registered users of English Wikipedia and edited by 296 registered Wikipedia users in all languages.

The article is cited 36 times in English Wikipedia and cited 392 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #14320 in September 2003
  • Global: #25366 in September 2003

The highest popularity rank from 2008:

  • Local (English): #67143 in October 2018
  • Global: #74374 in November 2020

There are 17 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
1Indonesian (id)
Teorema kenolan peringkat
35.5751
2English (en)
Rank–nullity theorem
32.101
3Czech (cs)
Věta o dimenzích jádra a obrazu
17.9888
4Vietnamese (vi)
Định lý về hạng
17.8605
5French (fr)
Théorème du rang
17.5227
6Italian (it)
Teorema del rango
15.4084
7Hungarian (hu)
Dimenziótétel
14.1122
8Chinese (zh)
秩—零化度定理
11.3006
9Korean (ko)
계수-퇴화차수 정리
11.1206
10Portuguese (pt)
Teorema do núcleo e da imagem
10.2933
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 "Rank–nullity theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Rank–nullity theorem
1 824 055
2French (fr)
Théorème du rang
519 378
3German (de)
Rangsatz
296 786
4Italian (it)
Teorema del rango
193 482
5Chinese (zh)
秩—零化度定理
109 915
6Spanish (es)
Teorema rango-nulidad
82 362
7Hebrew (he)
משפט הממדים עבור העתקות ליניאריות
58 907
8Japanese (ja)
階数・退化次数の定理
37 912
9Portuguese (pt)
Teorema do núcleo e da imagem
36 733
10Polish (pl)
Twierdzenie o rzędzie
30 412
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 "Rank–nullity theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Rank–nullity theorem
4 932
2French (fr)
Théorème du rang
1 562
3German (de)
Rangsatz
622
4Italian (it)
Teorema del rango
585
5Chinese (zh)
秩—零化度定理
500
6Hebrew (he)
משפט הממדים עבור העתקות ליניאריות
352
7Spanish (es)
Teorema rango-nulidad
325
8Japanese (ja)
階数・退化次数の定理
255
9Polish (pl)
Twierdzenie o rzędzie
147
10Portuguese (pt)
Teorema do núcleo e da imagem
137
More...

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

The highest AI

Language versions of the article "Rank–nullity theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Rank–nullity theorem
96
2German (de)
Rangsatz
37
3Italian (it)
Teorema del rango
37
4French (fr)
Théorème du rang
33
5Tamil (ta)
வீச்சளவை சுழிவளவை தேற்றம்
12
6Chinese (zh)
秩—零化度定理
12
7Hungarian (hu)
Dimenziótétel
11
8Swedish (sv)
Dimensionssatsen
11
9Hebrew (he)
משפט הממדים עבור העתקות ליניאריות
9
10Japanese (ja)
階数・退化次数の定理
9
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 "Rank–nullity theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Czech (cs)
Věta o dimenzích jádra a obrazu
0
2German (de)
Rangsatz
0
3English (en)
Rank–nullity theorem
0
4Spanish (es)
Teorema rango-nulidad
0
5French (fr)
Théorème du rang
0
6Hebrew (he)
משפט הממדים עבור העתקות ליניאריות
0
7Hungarian (hu)
Dimenziótétel
0
8Indonesian (id)
Teorema kenolan peringkat
0
9Italian (it)
Teorema del rango
0
10Japanese (ja)
階数・退化次数の定理
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 "Rank–nullity theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Théorème du rang
99
2Italian (it)
Teorema del rango
99
3Polish (pl)
Twierdzenie o rzędzie
41
4English (en)
Rank–nullity theorem
36
5Chinese (zh)
秩—零化度定理
22
6Japanese (ja)
階数・退化次数の定理
21
7German (de)
Rangsatz
17
8Vietnamese (vi)
Định lý về hạng
13
9Spanish (es)
Teorema rango-nulidad
10
10Czech (cs)
Věta o dimenzích jádra a obrazu
7
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
csCzech
Věta o dimenzích jádra a obrazu
deGerman
Rangsatz
enEnglish
Rank–nullity theorem
esSpanish
Teorema rango-nulidad
frFrench
Théorème du rang
heHebrew
משפט הממדים עבור העתקות ליניאריות
huHungarian
Dimenziótétel
idIndonesian
Teorema kenolan peringkat
itItalian
Teorema del rango
jaJapanese
階数・退化次数の定理
koKorean
계수-퇴화차수 정리
plPolish
Twierdzenie o rzędzie
ptPortuguese
Teorema do núcleo e da imagem
svSwedish
Dimensionssatsen
taTamil
வீச்சளவை சுழிவளவை தேற்றம்
viVietnamese
Định lý về hạng
zhChinese
秩—零化度定理

Popularity rank trends

Best Rank English:
#67143
10.2018
Global:
#74374
11.2020

AI rank trends

Best Rank English:
#14320
09.2003
Global:
#25366
09.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Rank–nullity theorem from Wikipedia articles about Fundamental theorem, Kernel, Rank, Fundamental theorem of algebra and Grassmanns identity. Whereas reading the article about Rank–nullity theorem people most often go to Wikipedia articles on Kernel, Rank, Splitting lemma, Steinitz exchange lemma and Isomorphism 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 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