Anneau de Gorenstein

Gorenstein ring - commutative Noetherian ring such that, at every prime ideal, the localization has finite injective dimension as a module over itself. Article “Anneau de Gorenstein” in French Wikipedia has 6.9 points for quality (as of July 1, 2025). The article contains 1 references and 5 sections.

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

Since the creation of article “Anneau de Gorenstein”, its content was written by 2 registered users of French Wikipedia and edited by 66 registered Wikipedia users in all languages.

The article is cited 47 times in French Wikipedia and cited 336 times in all languages.

The highest Authors Interest rank from 2001:

• Local (French): #18413 in October 2024
• Global: #76076 in March 2004

The highest popularity rank from 2008:

• Local (French): #975428 in June 2025
• Global: #1044178 in June 2025

There are 11 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	Greek (el) Δακτύλιος Γκόρενσταϊν		27.1499
2	English (en) Gorenstein ring		22.2656
3	Korean (ko) 고런스틴 환		21.2166
4	German (de) Gorensteinring		10.5072
5	Chinese (zh) 葛侖斯坦環		7.5558
6	Norwegian (Nynorsk) (nn) Gorensteinring		7.3381
7	Italian (it) Anello di Gorenstein		7.0953
8	French (fr) Anneau de Gorenstein		6.9325
9	Japanese (ja) ゴレンシュタイン環		6.3558
10	Ukrainian (uk) Кільце Горенштейна		5.5371

More...

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

The most popular language versions of the article "Anneau de Gorenstein" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Gorenstein ring		105 760
2	Japanese (ja) ゴレンシュタイン環		9 058
3	German (de) Gorensteinring		5 046
4	Chinese (zh) 葛侖斯坦環		4 499
5	Italian (it) Anello di Gorenstein		3 052
6	Korean (ko) 고런스틴 환		825
7	Persian (fa) حلقه گورنشتاین		380
8	French (fr) Anneau de Gorenstein		203
9	Norwegian (Nynorsk) (nn) Gorensteinring		145
10	Ukrainian (uk) Кільце Горенштейна		127

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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 "Anneau de Gorenstein" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Gorenstein ring		1 116
2	Japanese (ja) ゴレンシュタイン環		112
3	German (de) Gorensteinring		43
4	French (fr) Anneau de Gorenstein		35
5	Korean (ko) 고런스틴 환		22
6	Italian (it) Anello di Gorenstein		21
7	Chinese (zh) 葛侖斯坦環		18
8	Persian (fa) حلقه گورنشتاین		10
9	Greek (el) Δακτύλιος Γκόρενσταϊν		6
10	Norwegian (Nynorsk) (nn) Gorensteinring		6

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

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

#	Language	AI award	Relative AI
1	English (en) Gorenstein ring		31
2	German (de) Gorensteinring		10
3	Italian (it) Anello di Gorenstein		9
4	Japanese (ja) ゴレンシュタイン環		3
5	Chinese (zh) 葛侖斯坦環		3
6	Greek (el) Δακτύλιος Γκόρενσταϊν		2
7	French (fr) Anneau de Gorenstein		2
8	Norwegian (Nynorsk) (nn) Gorensteinring		2
9	Ukrainian (uk) Кільце Горенштейна		2
10	Persian (fa) حلقه گورنشتاین		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 "Anneau de Gorenstein" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Gorenstein ring		3
2	Italian (it) Anello di Gorenstein		1
3	German (de) Gorensteinring		0
4	Greek (el) Δακτύλιος Γκόρενσταϊν		0
5	Persian (fa) حلقه گورنشتاین		0
6	French (fr) Anneau de Gorenstein		0
7	Japanese (ja) ゴレンシュタイン環		0
8	Korean (ko) 고런스틴 환		0
9	Norwegian (Nynorsk) (nn) Gorensteinring		0
10	Ukrainian (uk) Кільце Горенштейна		0

More...

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

Language versions of the article "Anneau de Gorenstein" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Italian (it) Anello di Gorenstein		203
2	French (fr) Anneau de Gorenstein		47
3	English (en) Gorenstein ring		36
4	Japanese (ja) ゴレンシュタイン環		15
5	Chinese (zh) 葛侖斯坦環		9
6	Korean (ko) 고런스틴 환		7
7	Persian (fa) حلقه گورنشتاین		6
8	Greek (el) Δακτύλιος Γκόρενσταϊν		5
9	German (de) Gorensteinring		4
10	Norwegian (Nynorsk) (nn) Gorensteinring		3

More...

#	Language	Value
de	German Gorensteinring
el	Greek Δακτύλιος Γκόρενσταϊν
en	English Gorenstein ring
fa	Persian حلقه گورنشتاین
fr	French Anneau de Gorenstein
it	Italian Anello di Gorenstein
ja	Japanese ゴレンシュタイン環
ko	Korean 고런스틴 환
nn	Norwegian (Nynorsk) Gorensteinring
uk	Ukrainian Кільце Горенштейна
zh	Chinese 葛侖斯坦環

Best Rank

French: #975428 06.2025

Global: #1044178 06.2025

Best Rank

French: #18413 10.2024

Global: #76076 03.2004

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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