Tensor product of modules

Tensor product of modules - operation that pairs a left and a right ?‐module into an abelian group. Article “Tensor product of modules” in English Wikipedia has 46.3 points for quality (as of July 1, 2025). The article contains 19 references and 28 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.44 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 “Tensor product of modules”, its content was written by 56 registered users of English Wikipedia and edited by 141 registered Wikipedia users in all languages.

The article is cited 68 times in English Wikipedia and cited 239 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #47820 in April 2015
• Global: #70060 in May 2015

The highest popularity rank from 2008:

• Local (English): #254245 in April 2015
• Global: #387492 in April 2015

There are 6 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.

#	Language	Quality grade	Quality score
1	English (en) Tensor product of modules		46.2824
2	German (de) Tensorprodukt von Moduln		29.537
3	Portuguese (pt) Produto tensorial de módulos		20.1212
4	French (fr) Produit tensoriel de deux modules		11.5772
5	Japanese (ja) 加群のテンソル積		11.4839
6	Polish (pl) Iloczyn tensorowy modułów		7.8143

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

The most popular language versions of the article "Tensor product of modules" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Tensor product of modules		398 573
2	French (fr) Produit tensoriel de deux modules		46 159
3	Japanese (ja) 加群のテンソル積		33 905
4	German (de) Tensorprodukt von Moduln		25 104
5	Polish (pl) Iloczyn tensorowy modułów		12 327
6	Portuguese (pt) Produto tensorial de módulos		1 095

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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 "Tensor product of modules" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Tensor product of modules		1 895
2	Japanese (ja) 加群のテンソル積		196
3	French (fr) Produit tensoriel de deux modules		187
4	German (de) Tensorprodukt von Moduln		87
5	Polish (pl) Iloczyn tensorowy modułów		11
6	Portuguese (pt) Produto tensorial de módulos		11

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

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

#	Language	AI award	Relative AI
1	English (en) Tensor product of modules		56
2	German (de) Tensorprodukt von Moduln		52
3	French (fr) Produit tensoriel de deux modules		21
4	Polish (pl) Iloczyn tensorowy modułów		7
5	Japanese (ja) 加群のテンソル積		4
6	Portuguese (pt) Produto tensorial de módulos		1

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

Language versions of the article "Tensor product of modules" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Tensorprodukt von Moduln		0
2	English (en) Tensor product of modules		0
3	French (fr) Produit tensoriel de deux modules		0
4	Japanese (ja) 加群のテンソル積		0
5	Polish (pl) Iloczyn tensorowy modułów		0
6	Portuguese (pt) Produto tensorial de módulos		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 "Tensor product of modules" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	French (fr) Produit tensoriel de deux modules		105
2	English (en) Tensor product of modules		68
3	Polish (pl) Iloczyn tensorowy modułów		34
4	Japanese (ja) 加群のテンソル積		21
5	Portuguese (pt) Produto tensorial de módulos		6
6	German (de) Tensorprodukt von Moduln		5

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#	Language	Value
de	German Tensorprodukt von Moduln
en	English Tensor product of modules
fr	French Produit tensoriel de deux modules
ja	Japanese 加群のテンソル積
pl	Polish Iloczyn tensorowy modułów
pt	Portuguese Produto tensorial de módulos

Best Rank

English: #254245 04.2015

Global: #387492 04.2015

Best Rank

English: #47820 04.2015

Global: #70060 05.2015

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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 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