双対 (圏論)

Dual - correspondence between properties of a category and its opposite. Article "双対 (圏論)" in Japanese Wikipedia has 5.1 points for quality (as of August 1, 2024). The article contains 1 references and 4 sections.

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

Since the creation of article "双対 (圏論)", its content was written by 2 registered users of Japanese Wikipedia and edited by 87 registered Wikipedia users in all languages.

The article is cited 86 times in Japanese Wikipedia and cited 305 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Japanese): #115298 in July 2017
• Global: #23565 in September 2003

The highest popularity rank from 2008:

• Local (Japanese): #444492 in December 2021
• Global: #532770 in June 2014

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 August 1, 2024 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	German (de) Duale Kategorie		26.0097
2	French (fr) Dualité (théorie des catégories)		16.8022
3	English (en) Dual (category theory)		13.146
4	Hungarian (hu) Dualitás (kategóriaelmélet)		11.1638
5	Persian (fa) دوگان (نظریه رسته‌ها)		7.2425
6	Japanese (ja) 双対 (圏論)		5.136
7	Spanish (es) Dual (teoría de categorías)		4.584
8	Russian (ru) Двойственность (теория категорий)		3.6438
9	Ukrainian (uk) Двоїстість (теорія категорій)		3.5011
10	Dutch (nl) Duale (categorietheorie)		2.3279

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "双対 (圏論)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Dual (category theory)		203 654
2	Russian (ru) Двойственность (теория категорий)		31 801
3	Spanish (es) Dual (teoría de categorías)		23 116
4	Japanese (ja) 双対 (圏論)		11 278
5	German (de) Duale Kategorie		4 882
6	Persian (fa) دوگان (نظریه رسته‌ها)		4 374
7	Dutch (nl) Duale (categorietheorie)		3 611
8	Ukrainian (uk) Двоїстість (теорія категорій)		165
9	Hungarian (hu) Dualitás (kategóriaelmélet)		155
10	French (fr) Dualité (théorie des catégories)		96

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

The most popular language versions of the article "双対 (圏論)" in July 2024

#	Language	Popularity award	Relative popularity
1	English (en) Dual (category theory)		879
2	Japanese (ja) 双対 (圏論)		143
3	Russian (ru) Двойственность (теория категорий)		74
4	German (de) Duale Kategorie		33
5	French (fr) Dualité (théorie des catégories)		26
6	Persian (fa) دوگان (نظریه رسته‌ها)		13
7	Spanish (es) Dual (teoría de categorías)		11
8	Hungarian (hu) Dualitás (kategóriaelmélet)		8
9	Ukrainian (uk) Двоїстість (теорія категорій)		6
10	Dutch (nl) Duale (categorietheorie)		2

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

Language versions of the article "双対 (圏論)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Dual (category theory)		50
2	Dutch (nl) Duale (categorietheorie)		9
3	Persian (fa) دوگان (نظریه رسته‌ها)		7
4	German (de) Duale Kategorie		6
5	Spanish (es) Dual (teoría de categorías)		4
6	Russian (ru) Двойственность (теория категорий)		4
7	French (fr) Dualité (théorie des catégories)		3
8	Japanese (ja) 双対 (圏論)		2
9	Hungarian (hu) Dualitás (kategóriaelmélet)		1
10	Ukrainian (uk) Двоїстість (теорія категорій)		1

More...

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

Language versions of the article "双対 (圏論)" with the highest AI in July 2024

#	Language	AI award	Relative AI
1	German (de) Duale Kategorie		0
2	English (en) Dual (category theory)		0
3	Spanish (es) Dual (teoría de categorías)		0
4	Persian (fa) دوگان (نظریه رسته‌ها)		0
5	French (fr) Dualité (théorie des catégories)		0
6	Hungarian (hu) Dualitás (kategóriaelmélet)		0
7	Japanese (ja) 双対 (圏論)		0
8	Dutch (nl) Duale (categorietheorie)		0
9	Russian (ru) Двойственность (теория категорий)		0
10	Ukrainian (uk) Двоїстість (теорія категорій)		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "双対 (圏論)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Dual (category theory)		107
2	Japanese (ja) 双対 (圏論)		86
3	Russian (ru) Двойственность (теория категорий)		33
4	German (de) Duale Kategorie		24
5	Spanish (es) Dual (teoría de categorías)		15
6	Hungarian (hu) Dualitás (kategóriaelmélet)		10
7	Dutch (nl) Duale (categorietheorie)		10
8	Persian (fa) دوگان (نظریه رسته‌ها)		9
9	Ukrainian (uk) Двоїстість (теорія категорій)		9
10	French (fr) Dualité (théorie des catégories)		2

More...

#	Language	Value
de	German Duale Kategorie
en	English Dual (category theory)
es	Spanish Dual (teoría de categorías)
fa	Persian دوگان (نظریه رسته‌ها)
fr	French Dualité (théorie des catégories)
hu	Hungarian Dualitás (kategóriaelmélet)
ja	Japanese 双対 (圏論)
nl	Dutch Duale (categorietheorie)
ru	Russian Двойственность (теория категорий)
uk	Ukrainian Двоїстість (теорія категорій)

Best Rank

Japanese: #444492 12.2021

Global: #532770 06.2014

Best Rank

Japanese: #115298 07.2017

Global: #23565 09.2003

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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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information