Frobenius endomorphism

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Frobenius endomorphism

Quality:

Frobenius endomorphism - endomorphism of a commutative ring of non-zero characteristics. Article “Frobenius endomorphism” in English Wikipedia has 32.9 points for quality (as of July 1, 2025). The article contains 2 references and 15 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.73 points.

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 “Frobenius endomorphism”, its content was written by 59 registered users of English Wikipedia and edited by 263 registered Wikipedia users in all languages.

The article is cited 180 times in English Wikipedia and cited 667 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #21189 in November 2004
  • Global: #33182 in February 2006

The highest popularity rank from 2008:

  • Local (English): #293249 in January 2015
  • Global: #351977 in January 2015

There are 16 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)
Frobenius endomorphism
32.8731
2German (de)
Frobeniushomomorphismus
30.6097
3Japanese (ja)
フロベニウス自己準同型
22.495
4Korean (ko)
프로베니우스 사상
18.5389
5French (fr)
Endomorphisme de Frobenius
12.6305
6Chinese (zh)
弗罗贝尼乌斯自同态
11.6209
7Polish (pl)
Endomorfizm Frobeniusa
11.1447
8Ukrainian (uk)
Ендоморфізм Фробеніуса
11
9Spanish (es)
Endomorfismo de Frobenius
8.6447
10Russian (ru)
Эндоморфизм Фробениуса
8.2277
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 endomorphism" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Frobenius endomorphism
378 994
2German (de)
Frobeniushomomorphismus
67 130
3French (fr)
Endomorphisme de Frobenius
48 462
4Spanish (es)
Endomorfismo de Frobenius
46 182
5Japanese (ja)
フロベニウス自己準同型
32 913
6Russian (ru)
Эндоморфизм Фробениуса
24 107
7Italian (it)
Endomorfismo di Frobenius
21 540
8Polish (pl)
Endomorfizm Frobeniusa
13 220
9Korean (ko)
프로베니우스 사상
10 079
10Chinese (zh)
弗罗贝尼乌斯自同态
8 335
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 endomorphism" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Frobenius endomorphism
2 136
2French (fr)
Endomorphisme de Frobenius
318
3Japanese (ja)
フロベニウス自己準同型
257
4German (de)
Frobeniushomomorphismus
157
5Russian (ru)
Эндоморфизм Фробениуса
128
6Korean (ko)
프로베니우스 사상
94
7Chinese (zh)
弗罗贝尼乌斯自同态
74
8Spanish (es)
Endomorfismo de Frobenius
50
9Italian (it)
Endomorfismo di Frobenius
43
10Hebrew (he)
הומומורפיזם פרובניוס
23
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 endomorphism" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Frobenius endomorphism
59
2French (fr)
Endomorphisme de Frobenius
52
3German (de)
Frobeniushomomorphismus
38
4Italian (it)
Endomorfismo di Frobenius
25
5Japanese (ja)
フロベニウス自己準同型
17
6Spanish (es)
Endomorfismo de Frobenius
12
7Dutch (nl)
Frobenius-endomorfisme
10
8Catalan (ca)
Endomorfisme de Frobenius
8
9Polish (pl)
Endomorfizm Frobeniusa
8
10Russian (ru)
Эндоморфизм Фробениуса
7
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 endomorphism" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Italian (it)
Endomorfismo di Frobenius
1
2Catalan (ca)
Endomorfisme de Frobenius
0
3Czech (cs)
Frobeniův endomorfismus
0
4German (de)
Frobeniushomomorphismus
0
5English (en)
Frobenius endomorphism
0
6Spanish (es)
Endomorfismo de Frobenius
0
7French (fr)
Endomorphisme de Frobenius
0
8Hebrew (he)
הומומורפיזם פרובניוס
0
9Japanese (ja)
フロベニウス自己準同型
0
10Korean (ko)
프로베니우스 사상
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 endomorphism" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Endomorfismo di Frobenius
185
2English (en)
Frobenius endomorphism
180
3Japanese (ja)
フロベニウス自己準同型
57
4German (de)
Frobeniushomomorphismus
53
5French (fr)
Endomorphisme de Frobenius
34
6Chinese (zh)
弗罗贝尼乌斯自同态
32
7Korean (ko)
프로베니우스 사상
31
8Russian (ru)
Эндоморфизм Фробениуса
23
9Spanish (es)
Endomorfismo de Frobenius
22
10Hebrew (he)
הומומורפיזם פרובניוס
11
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
caCatalan
Endomorfisme de Frobenius
csCzech
Frobeniův endomorfismus
deGerman
Frobeniushomomorphismus
enEnglish
Frobenius endomorphism
esSpanish
Endomorfismo de Frobenius
frFrench
Endomorphisme de Frobenius
heHebrew
הומומורפיזם פרובניוס
itItalian
Endomorfismo di Frobenius
jaJapanese
フロベニウス自己準同型
koKorean
프로베니우스 사상
nlDutch
Frobenius-endomorfisme
plPolish
Endomorfizm Frobeniusa
ptPortuguese
Endomorfismo de Frobenius
ruRussian
Эндоморфизм Фробениуса
ukUkrainian
Ендоморфізм Фробеніуса
zhChinese
弗罗贝尼乌斯自同态

Popularity rank trends

Best Rank English:
#293249
01.2015
Global:
#351977
01.2015

AI rank trends

Best Rank English:
#21189
11.2004
Global:
#33182
02.2006

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Frobenius endomorphism from Wikipedia articles about Characteristic, Freshmans dream, Sophomores dream, Perfect field and Fermats little theorem. Whereas reading the article about Frobenius endomorphism people most often go to Wikipedia articles on Endomorphism, Ferdinand Georg Frobenius, Finite field, Perfect field and Characteristic.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

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