Monad (category theory)

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Monad (category theory)

Quality:

Monad - monoid in an endofunctor category. Article “Monad (category theory)” in English Wikipedia has 55.9 points for quality (as of July 1, 2025). The article contains 15 references and 22 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.94 points.

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

In June 2025 the article “Monad (category theory)” was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Monad (category theory)”, its content was written by 118 registered users of English Wikipedia and edited by 226 registered Wikipedia users in all languages.

The article is cited 98 times in English Wikipedia and cited 392 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #40289 in December 2024
  • Global: #63588 in November 2003

The highest popularity rank from 2008:

  • Local (English): #167960 in May 2024
  • Global: #248736 in May 2024

There are 12 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
1Chinese (zh)
單子 (範疇論)
57.9177
2English (en)
Monad (category theory)
55.8868
3Indonesian (id)
Monad (teori kategori)
48.1563
4Portuguese (pt)
Mónade (teoria das categorias)
45.4545
5German (de)
Monade (Kategorientheorie)
31.5972
6French (fr)
Monade (théorie des catégories)
21.3383
7Japanese (ja)
モナド (圏論)
21.2903
8Korean (ko)
모나드 (범주론)
16.6746
9Spanish (es)
Mónada (teoría de categorías)
12.6705
10Dutch (nl)
Monade (categorietheorie)
7.9874
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 "Monad (category theory)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Monad (category theory)
697 800
2Japanese (ja)
モナド (圏論)
61 337
3German (de)
Monade (Kategorientheorie)
58 507
4French (fr)
Monade (théorie des catégories)
21 528
5Russian (ru)
Монада (теория категорий)
17 504
6Polish (pl)
Monada (teoria kategorii)
15 961
7Korean (ko)
모나드 (범주론)
13 049
8Spanish (es)
Mónada (teoría de categorías)
12 732
9Portuguese (pt)
Mónade (teoria das categorias)
10 904
10Chinese (zh)
單子 (範疇論)
4 196
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 "Monad (category theory)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Monad (category theory)
4 053
2Japanese (ja)
モナド (圏論)
481
3German (de)
Monade (Kategorientheorie)
206
4Russian (ru)
Монада (теория категорий)
172
5French (fr)
Monade (théorie des catégories)
115
6Chinese (zh)
單子 (範疇論)
80
7Korean (ko)
모나드 (범주론)
67
8Spanish (es)
Mónada (teoría de categorías)
63
9Polish (pl)
Monada (teoria kategorii)
48
10Portuguese (pt)
Mónade (teoria das categorias)
47
More...

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

The highest AI

Language versions of the article "Monad (category theory)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Monad (category theory)
118
2German (de)
Monade (Kategorientheorie)
31
3Russian (ru)
Монада (теория категорий)
16
4Japanese (ja)
モナド (圏論)
14
5Polish (pl)
Monada (teoria kategorii)
11
6French (fr)
Monade (théorie des catégories)
10
7Spanish (es)
Mónada (teoría de categorías)
9
8Korean (ko)
모나드 (범주론)
8
9Portuguese (pt)
Mónade (teoria das categorias)
5
10Indonesian (id)
Monad (teori kategori)
2
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 "Monad (category theory)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Monad (category theory)
1
2Korean (ko)
모나드 (범주론)
1
3German (de)
Monade (Kategorientheorie)
0
4Spanish (es)
Mónada (teoría de categorías)
0
5French (fr)
Monade (théorie des catégories)
0
6Indonesian (id)
Monad (teori kategori)
0
7Japanese (ja)
モナド (圏論)
0
8Dutch (nl)
Monade (categorietheorie)
0
9Polish (pl)
Monada (teoria kategorii)
0
10Portuguese (pt)
Mónade (teoria das categorias)
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 "Monad (category theory)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Monad (category theory)
98
2French (fr)
Monade (théorie des catégories)
80
3German (de)
Monade (Kategorientheorie)
67
4Japanese (ja)
モナド (圏論)
66
5Portuguese (pt)
Mónade (teoria das categorias)
29
6Polish (pl)
Monada (teoria kategorii)
17
7Korean (ko)
모나드 (범주론)
12
8Chinese (zh)
單子 (範疇論)
7
9Spanish (es)
Mónada (teoría de categorías)
6
10Indonesian (id)
Monad (teori kategori)
6
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
Monade (Kategorientheorie)
enEnglish
Monad (category theory)
esSpanish
Mónada (teoría de categorías)
frFrench
Monade (théorie des catégories)
idIndonesian
Monad (teori kategori)
jaJapanese
モナド (圏論)
koKorean
모나드 (범주론)
nlDutch
Monade (categorietheorie)
plPolish
Monada (teoria kategorii)
ptPortuguese
Mónade (teoria das categorias)
ruRussian
Монада (теория категорий)
zhChinese
單子 (範疇論)

Popularity rank trends

Best Rank English:
#167960
05.2024
Global:
#248736
05.2024

AI rank trends

Best Rank English:
#40289
12.2024
Global:
#63588
11.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Monad from Wikipedia articles about Monad, Monad, Kleisli category, Category theory and Becks monadicity theorem. Whereas reading the article about Monad people most often go to Wikipedia articles on Functor, Monoid object, Monad, Natural transformation and Adjoint functor.

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