Frobenius theorem (real division algebras)

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Frobenius theorem (real division algebras)

Quality:

Frobenius theorem - theorem that the finite-dimensional associative division algebras over the reals are either the reals, the complex numbers, or the quaternions. Article “Frobenius theorem (real division algebras)” in English Wikipedia has 14 points for quality (as of July 1, 2025). The article contains 0 references and 7 sections.

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

Since the creation of article “Frobenius theorem (real division algebras)”, its content was written by 45 registered users of English Wikipedia and edited by 125 registered Wikipedia users in all languages.

The article is cited 18 times in English Wikipedia and cited 158 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #66561 in July 2023
  • Global: #54862 in July 2016

The highest popularity rank from 2008:

  • Local (English): #245589 in June 2025
  • Global: #348021 in June 2025

There are 10 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
1Dutch (nl)
Stelling van Frobenius (delingsalgebra)
23.733
2German (de)
Satz von Frobenius (reelle Divisionsalgebren)
23.3448
3Portuguese (pt)
Teorema de Frobenius
21.6447
4French (fr)
Théorème de Frobenius (algèbre)
15.3811
5English (en)
Frobenius theorem (real division algebras)
13.9912
6Russian (ru)
Теорема Фробениуса
11.5395
7Polish (pl)
Twierdzenie Frobeniusa o algebrach z dzieleniem nad ciałem liczb rzeczywistych
4.6606
8Ukrainian (uk)
Теорема Фробеніуса
3.0121
9Japanese (ja)
フロベニウスの定理 (代数学)
2.2019
10Spanish (es)
Teorema de Frobenius (álgebra)
1.5992
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 "Frobenius theorem (real division algebras)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Frobenius theorem (real division algebras)
167 603
2Russian (ru)
Теорема Фробениуса
77 912
3Japanese (ja)
フロベニウスの定理 (代数学)
33 947
4Spanish (es)
Teorema de Frobenius (álgebra)
22 556
5French (fr)
Théorème de Frobenius (algèbre)
22 528
6Polish (pl)
Twierdzenie Frobeniusa o algebrach z dzieleniem nad ciałem liczb rzeczywistych
11 677
7German (de)
Satz von Frobenius (reelle Divisionsalgebren)
6 688
8Ukrainian (uk)
Теорема Фробеніуса
4 850
9Portuguese (pt)
Teorema de Frobenius
4 797
10Dutch (nl)
Stelling van Frobenius (delingsalgebra)
205
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 "Frobenius theorem (real division algebras)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Frobenius theorem (real division algebras)
4 500
2Russian (ru)
Теорема Фробениуса
452
3Japanese (ja)
フロベニウスの定理 (代数学)
163
4French (fr)
Théorème de Frobenius (algèbre)
145
5Polish (pl)
Twierdzenie Frobeniusa o algebrach z dzieleniem nad ciałem liczb rzeczywistych
38
6Spanish (es)
Teorema de Frobenius (álgebra)
37
7German (de)
Satz von Frobenius (reelle Divisionsalgebren)
35
8Portuguese (pt)
Teorema de Frobenius
21
9Ukrainian (uk)
Теорема Фробеніуса
9
10Dutch (nl)
Stelling van Frobenius (delingsalgebra)
4
More...

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

The highest AI

Language versions of the article "Frobenius theorem (real division algebras)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Frobenius theorem (real division algebras)
45
2Russian (ru)
Теорема Фробениуса
20
3German (de)
Satz von Frobenius (reelle Divisionsalgebren)
17
4Japanese (ja)
フロベニウスの定理 (代数学)
14
5French (fr)
Théorème de Frobenius (algèbre)
8
6Polish (pl)
Twierdzenie Frobeniusa o algebrach z dzieleniem nad ciałem liczb rzeczywistych
7
7Spanish (es)
Teorema de Frobenius (álgebra)
6
8Ukrainian (uk)
Теорема Фробеніуса
4
9Dutch (nl)
Stelling van Frobenius (delingsalgebra)
3
10Portuguese (pt)
Teorema de Frobenius
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 "Frobenius theorem (real division algebras)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Polish (pl)
Twierdzenie Frobeniusa o algebrach z dzieleniem nad ciałem liczb rzeczywistych
1
2German (de)
Satz von Frobenius (reelle Divisionsalgebren)
0
3English (en)
Frobenius theorem (real division algebras)
0
4Spanish (es)
Teorema de Frobenius (álgebra)
0
5French (fr)
Théorème de Frobenius (algèbre)
0
6Japanese (ja)
フロベニウスの定理 (代数学)
0
7Dutch (nl)
Stelling van Frobenius (delingsalgebra)
0
8Portuguese (pt)
Teorema de Frobenius
0
9Russian (ru)
Теорема Фробениуса
0
10Ukrainian (uk)
Теорема Фробеніуса
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 "Frobenius theorem (real division algebras)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Russian (ru)
Теорема Фробениуса
48
2Polish (pl)
Twierdzenie Frobeniusa o algebrach z dzieleniem nad ciałem liczb rzeczywistych
47
3English (en)
Frobenius theorem (real division algebras)
18
4French (fr)
Théorème de Frobenius (algèbre)
13
5Japanese (ja)
フロベニウスの定理 (代数学)
10
6German (de)
Satz von Frobenius (reelle Divisionsalgebren)
9
7Ukrainian (uk)
Теорема Фробеніуса
5
8Spanish (es)
Teorema de Frobenius (álgebra)
4
9Dutch (nl)
Stelling van Frobenius (delingsalgebra)
3
10Portuguese (pt)
Teorema de Frobenius
1
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
Satz von Frobenius (reelle Divisionsalgebren)
enEnglish
Frobenius theorem (real division algebras)
esSpanish
Teorema de Frobenius (álgebra)
frFrench
Théorème de Frobenius (algèbre)
jaJapanese
フロベニウスの定理 (代数学)
nlDutch
Stelling van Frobenius (delingsalgebra)
plPolish
Twierdzenie Frobeniusa o algebrach z dzieleniem nad ciałem liczb rzeczywistych
ptPortuguese
Teorema de Frobenius
ruRussian
Теорема Фробениуса
ukUkrainian
Теорема Фробеніуса

Popularity rank trends

Best Rank English:
#245589
06.2025
Global:
#348021
06.2025

AI rank trends

Best Rank English:
#66561
07.2023
Global:
#54862
07.2016

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Frobenius theorem from Wikipedia articles about Quaternion, Frobenius theorem, Division algebra, Octonion and Hypercomplex number. Whereas reading the article about Frobenius theorem people most often go to Wikipedia articles on Division algebra, Quaternion, Hurwitzs theorem, Cayley–Hamilton theorem and Ferdinand Georg Frobenius.

Cumulative results of quality and popularity of the Wikipedia article

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

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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