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, 2026). 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.

In June 2026 the article “Rank–nullity theorem” was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Rank–nullity theorem”, its content was written by 100 registered users of English Wikipedia and edited by 298 registered Wikipedia users in all languages.

The article is cited 98 times in English Wikipedia and cited 440 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #14310 in September 2003
  • Global: #25370 in September 2003

The highest popularity rank from 2008:

  • Local (English): #67488 in October 2018
  • Global: #75180 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, 2026 (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
35.0169
2English (en)
Rank–nullity theorem
32.0627
3German (de)
Rangsatz
22.1702
4Czech (cs)
Věta o dimenzích jádra a obrazu
17.8508
5Vietnamese (vi)
Định lý về hạng
17.795
6French (fr)
Théorème du rang
17.4844
7Korean (ko)
차원 정리
16.7996
8Italian (it)
Teorema del rango
15.4045
9Hungarian (hu)
Dimenziótétel
14.1047
10Chinese (zh)
秩—零化度定理
11.2784
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
1 902 861
2French (fr)
Théorème du rang
536 490
3German (de)
Rangsatz
305 783
4Italian (it)
Teorema del rango
197 389
5Chinese (zh)
秩—零化度定理
115 444
6Spanish (es)
Teorema rango-nulidad
85 385
7Hebrew (he)
משפט הממדים עבור העתקות ליניאריות
62 070
8Japanese (ja)
階数・退化次数の定理
40 121
9Portuguese (pt)
Teorema do núcleo e da imagem
37 587
10Polish (pl)
Twierdzenie o rzędzie
31 600
More...

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

Most popular in June 2026

The most popular language versions of the article "Rank–nullity theorem" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Rank–nullity theorem
3 962
2French (fr)
Théorème du rang
1 084
3German (de)
Rangsatz
646
4Chinese (zh)
秩—零化度定理
329
5Italian (it)
Teorema del rango
275
6Spanish (es)
Teorema rango-nulidad
235
7Hebrew (he)
משפט הממדים עבור העתקות ליניאריות
204
8Japanese (ja)
階数・退化次数の定理
194
9Polish (pl)
Twierdzenie o rzędzie
100
10Portuguese (pt)
Teorema do núcleo e da imagem
73
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
100
2German (de)
Rangsatz
41
3Italian (it)
Teorema del rango
37
4French (fr)
Théorème du rang
34
5Hungarian (hu)
Dimenziótétel
12
6Chinese (zh)
秩—零化度定理
12
7Swedish (sv)
Dimensionssatsen
11
8Hebrew (he)
משפט הממדים עבור העתקות ליניאריות
10
9Japanese (ja)
階数・退化次数の定理
9
10Czech (cs)
Věta o dimenzích jádra a obrazu
6
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 2026

Language versions of the article "Rank–nullity theorem" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Rank–nullity theorem
2
2Korean (ko)
차원 정리
1
3Czech (cs)
Věta o dimenzích jádra a obrazu
0
4German (de)
Rangsatz
0
5Spanish (es)
Teorema rango-nulidad
0
6French (fr)
Théorème du rang
0
7Hebrew (he)
משפט הממדים עבור העתקות ליניאריות
0
8Hungarian (hu)
Dimenziótétel
0
9Indonesian (id)
Teorema kenolan peringkat
0
10Italian (it)
Teorema del rango
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
102
2English (en)
Rank–nullity theorem
98
3Italian (it)
Teorema del rango
97
4Polish (pl)
Twierdzenie o rzędzie
40
5Chinese (zh)
秩—零化度定理
21
6Japanese (ja)
階数・退化次数の定理
16
7German (de)
Rangsatz
14
8Vietnamese (vi)
Định lý về hạng
9
9Spanish (es)
Teorema rango-nulidad
8
10Korean (ko)
차원 정리
7
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
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
차원 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:
#67488
10.2018
Global:
#75180
11.2020

AI rank trends

Best Rank English:
#14310
09.2003
Global:
#25370
09.2003

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Rank–nullity theorem from Wikipedia articles about Gilbert Strang, Kernel, Rank, Fundamental theorem of algebra and Fundamental theorem. 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 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information