Depth (ring theory)

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Depth (ring theory)

Quality:

Depth - invariant of rings and modules in algebra. Article “Depth (ring theory)” in English Wikipedia has 8.9 points for quality (as of July 1, 2025). The article contains 0 references and 5 sections.

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

Since the creation of article “Depth (ring theory)”, its content was written by 23 registered users of English Wikipedia and edited by 68 registered Wikipedia users in all languages.

The article is cited 20 times in English Wikipedia and cited 252 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #95359 in March 2004
  • Global: #143080 in March 2004

The highest popularity rank from 2008:

  • Local (English): #494093 in May 2010
  • Global: #751591 in May 2010

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 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
1Greek (el)
Βάθος (θεωρία δακτυλίων)
21.9567
2Korean (ko)
가군의 깊이
15.815
3English (en)
Depth (ring theory)
8.9174
4French (fr)
Profondeur d'un module
7.5643
5Chinese (zh)
深度 (模論)
6.1394
6German (de)
Tiefe (Kommutative Algebra)
5.9356
7Italian (it)
Profondità (algebra)
5.8898
8Ukrainian (uk)
Глибина (теорія кілець)
4.7759
9Japanese (ja)
深さ (環論)
4.0167
10Persian (fa)
عمق (نظریه حلقه‌ها)
2.2929
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 "Depth (ring theory)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Depth (ring theory)
97 494
2Chinese (zh)
深度 (模論)
8 350
3Japanese (ja)
深さ (環論)
7 535
4Italian (it)
Profondità (algebra)
4 702
5French (fr)
Profondeur d'un module
4 308
6German (de)
Tiefe (Kommutative Algebra)
3 277
7Persian (fa)
عمق (نظریه حلقه‌ها)
814
8Korean (ko)
가군의 깊이
673
9Ukrainian (uk)
Глибина (теорія кілець)
386
10Greek (el)
Βάθος (θεωρία δακτυλίων)
118
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 "Depth (ring theory)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Depth (ring theory)
489
2Japanese (ja)
深さ (環論)
77
3Chinese (zh)
深度 (模論)
36
4Italian (it)
Profondità (algebra)
18
5French (fr)
Profondeur d'un module
16
6Korean (ko)
가군의 깊이
11
7Persian (fa)
عمق (نظریه حلقه‌ها)
9
8Ukrainian (uk)
Глибина (теорія кілець)
7
9German (de)
Tiefe (Kommutative Algebra)
6
10Greek (el)
Βάθος (θεωρία δακτυλίων)
3
More...

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

The highest AI

Language versions of the article "Depth (ring theory)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Depth (ring theory)
23
2French (fr)
Profondeur d'un module
14
3German (de)
Tiefe (Kommutative Algebra)
10
4Italian (it)
Profondità (algebra)
5
5Japanese (ja)
深さ (環論)
5
6Chinese (zh)
深度 (模論)
4
7Greek (el)
Βάθος (θεωρία δακτυλίων)
2
8Persian (fa)
عمق (نظریه حلقه‌ها)
2
9Ukrainian (uk)
Глибина (теорія кілець)
2
10Korean (ko)
가군의 깊이
1
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 "Depth (ring theory)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Tiefe (Kommutative Algebra)
0
2Greek (el)
Βάθος (θεωρία δακτυλίων)
0
3English (en)
Depth (ring theory)
0
4Persian (fa)
عمق (نظریه حلقه‌ها)
0
5French (fr)
Profondeur d'un module
0
6Italian (it)
Profondità (algebra)
0
7Japanese (ja)
深さ (環論)
0
8Korean (ko)
가군의 깊이
0
9Ukrainian (uk)
Глибина (теорія кілець)
0
10Chinese (zh)
深度 (模論)
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 "Depth (ring theory)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
深度 (模論)
98
2Italian (it)
Profondità (algebra)
51
3French (fr)
Profondeur d'un module
49
4English (en)
Depth (ring theory)
20
5Japanese (ja)
深さ (環論)
11
6German (de)
Tiefe (Kommutative Algebra)
7
7Korean (ko)
가군의 깊이
7
8Persian (fa)
عمق (نظریه حلقه‌ها)
4
9Ukrainian (uk)
Глибина (теорія кілець)
4
10Greek (el)
Βάθος (θεωρία δακτυλίων)
1
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
Tiefe (Kommutative Algebra)
elGreek
Βάθος (θεωρία δακτυλίων)
enEnglish
Depth (ring theory)
faPersian
عمق (نظریه حلقه‌ها)
frFrench
Profondeur d'un module
itItalian
Profondità (algebra)
jaJapanese
深さ (環論)
koKorean
가군의 깊이
ukUkrainian
Глибина (теорія кілець)
zhChinese
深度 (模論)

Popularity rank trends

Best Rank English:
#494093
05.2010
Global:
#751591
05.2010

AI rank trends

Best Rank English:
#95359
03.2004
Global:
#143080
03.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Depth from Wikipedia articles about Cohen–Macaulay ring, Auslander–Buchsbaum formula, Regular sequence, Depth and Krull dimension. Whereas reading the article about Depth people most often go to Wikipedia articles on Regular sequence, Cohen–Macaulay ring, Auslander–Buchsbaum formula, Krull dimension and Projective module.

Cumulative results of quality and popularity of the Wikipedia article

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

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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