Regular local ring

en

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Regular local ring

Quality:

Regular local ring - Noetherian local commutative ring, the minimal number of generators of whose maximal ideal equals its Krull dimension. Article “Regular local ring” in English Wikipedia has 25.9 points for quality (as of July 1, 2025). The article contains 8 references and 10 sections.

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

Since the creation of article “Regular local ring”, its content was written by 46 registered users of English Wikipedia and edited by 136 registered Wikipedia users in all languages.

The article is cited 93 times in English Wikipedia and cited 331 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #37099 in March 2004
  • Global: #75560 in March 2004

The highest popularity rank from 2008:

  • Local (English): #516267 in May 2025
  • Global: #645095 in December 2008

There are 13 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
1German (de)
Regulärer lokaler Ring
25.9746
2English (en)
Regular local ring
25.9308
3Greek (el)
Κανονικός τοπικός δακτύλιος
22.9505
4Japanese (ja)
正則局所環
20.1023
5Ukrainian (uk)
Регулярне локальне кільце
17.1266
6Korean (ko)
정칙 국소환
16.191
7Persian (fa)
حلقه موضعی منظم
13.8176
8Russian (ru)
Регулярное локальное кольцо
12.3617
9Italian (it)
Anello locale regolare
7.8823
10Chinese (zh)
正則局部環
7.7966
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 "Regular local ring" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Regular local ring
230 778
2Japanese (ja)
正則局所環
13 985
3German (de)
Regulärer lokaler Ring
13 935
4French (fr)
Anneau local régulier
10 518
5Russian (ru)
Регулярное локальное кольцо
8 500
6Italian (it)
Anello locale regolare
6 648
7Chinese (zh)
正則局部環
4 671
8Spanish (es)
Anillo local regular
4 621
9Hebrew (he)
חוג מקומי רגולרי
3 521
10Korean (ko)
정칙 국소환
1 881
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 "Regular local ring" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Regular local ring
1 702
2Japanese (ja)
正則局所環
175
3German (de)
Regulärer lokaler Ring
55
4French (fr)
Anneau local régulier
44
5Russian (ru)
Регулярное локальное кольцо
33
6Italian (it)
Anello locale regolare
15
7Chinese (zh)
正則局部環
10
8Korean (ko)
정칙 국소환
9
9Ukrainian (uk)
Регулярне локальне кільце
9
10Spanish (es)
Anillo local regular
8
More...

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

The highest AI

Language versions of the article "Regular local ring" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Regular local ring
46
2German (de)
Regulärer lokaler Ring
21
3French (fr)
Anneau local régulier
13
4Italian (it)
Anello locale regolare
11
5Spanish (es)
Anillo local regular
10
6Hebrew (he)
חוג מקומי רגולרי
10
7Russian (ru)
Регулярное локальное кольцо
6
8Japanese (ja)
正則局所環
5
9Ukrainian (uk)
Регулярне локальне кільце
4
10Chinese (zh)
正則局部環
4
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 "Regular local ring" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Regulärer lokaler Ring
0
2Greek (el)
Κανονικός τοπικός δακτύλιος
0
3English (en)
Regular local ring
0
4Spanish (es)
Anillo local regular
0
5Persian (fa)
حلقه موضعی منظم
0
6French (fr)
Anneau local régulier
0
7Hebrew (he)
חוג מקומי רגולרי
0
8Italian (it)
Anello locale regolare
0
9Japanese (ja)
正則局所環
0
10Korean (ko)
정칙 국소환
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 "Regular local ring" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Regular local ring
93
2French (fr)
Anneau local régulier
60
3Italian (it)
Anello locale regolare
54
4Korean (ko)
정칙 국소환
25
5Japanese (ja)
正則局所環
22
6Ukrainian (uk)
Регулярне локальне кільце
19
7German (de)
Regulärer lokaler Ring
14
8Russian (ru)
Регулярное локальное кольцо
10
9Chinese (zh)
正則局部環
9
10Persian (fa)
حلقه موضعی منظم
8
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
Regulärer lokaler Ring
elGreek
Κανονικός τοπικός δακτύλιος
enEnglish
Regular local ring
esSpanish
Anillo local regular
faPersian
حلقه موضعی منظم
frFrench
Anneau local régulier
heHebrew
חוג מקומי רגולרי
itItalian
Anello locale regolare
jaJapanese
正則局所環
koKorean
정칙 국소환
ruRussian
Регулярное локальное кольцо
ukUkrainian
Регулярне локальне кільце
zhChinese
正則局部環

Popularity rank trends

Best Rank English:
#516267
05.2025
Global:
#645095
12.2008

AI rank trends

Best Rank English:
#37099
03.2004
Global:
#75560
03.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Regular local ring from Wikipedia articles about Regular scheme, Cohen–Macaulay ring, Unique factorization domain, Complete intersection ring and Hilberts syzygy theorem. Whereas reading the article about Regular local ring people most often go to Wikipedia articles on Krull dimension, Krulls principal ideal theorem, Local ring, Auslander–Buchsbaum theorem and Noetherian ring.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 February 2026

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In English Wikipedia the most popular articles on that day were: Bad Bunny, Jeffrey Epstein, Epstein files, Ilia Malinin, Savannah Guthrie, Ghislaine Maxwell, 2026 Winter Olympics, List of Super Bowl halftime shows, Eileen Gu, Jutta Leerdam.

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