정칙 국소환

ko

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정칙 국소환

Quality:

Regular local ring - Noetherian local commutative ring, the minimal number of generators of whose maximal ideal equals its Krull dimension. Article "정칙 국소환" in Korean Wikipedia has 16.2 points for quality (as of August 1, 2024). The article contains 3 references and 11 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "정칙 국소환", its content was written by 2 registered users of Korean Wikipedia and edited by 130 registered Wikipedia users in all languages.

The article is cited 25 times in Korean Wikipedia and cited 324 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Korean): #8926 in January 2019
  • Global: #75536 in March 2004

The highest popularity rank from 2008:

  • Local (Korean): #109040 in August 2014
  • Global: #645984 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 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Regular local ring
25.9955
2German (de)
Regulärer lokaler Ring
25.9945
3Greek (el)
Κανονικός τοπικός δακτύλιος
23.1827
4Japanese (ja)
正則局所環
20.6698
5Ukrainian (uk)
Регулярне локальне кільце
17.9154
6Korean (ko)
정칙 국소환
16.1526
7Persian (fa)
حلقه موضعی منظم
13.9441
8Russian (ru)
Регулярное локальное кольцо
12.385
9Italian (it)
Anello locale regolare
7.9268
10Chinese (zh)
正則局部環
7.8048
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 "정칙 국소환" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Regular local ring
215 251
2German (de)
Regulärer lokaler Ring
13 527
3Japanese (ja)
正則局所環
12 552
4French (fr)
Anneau local régulier
10 011
5Russian (ru)
Регулярное локальное кольцо
8 167
6Italian (it)
Anello locale regolare
6 463
7Spanish (es)
Anillo local regular
4 456
8Chinese (zh)
正則局部環
4 399
9Hebrew (he)
חוג מקומי רגולרי
3 440
10Korean (ko)
정칙 국소환
1 730
More...

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

Most popular in July 2024

The most popular language versions of the article "정칙 국소환" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Regular local ring
1 274
2Japanese (ja)
正則局所環
158
3German (de)
Regulärer lokaler Ring
44
4French (fr)
Anneau local régulier
36
5Russian (ru)
Регулярное локальное кольцо
28
6Chinese (zh)
正則局部環
17
7Italian (it)
Anello locale regolare
15
8Spanish (es)
Anillo local regular
14
9Persian (fa)
حلقه موضعی منظم
10
10Korean (ko)
정칙 국소환
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 "정칙 국소환" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Regular local ring
43
2German (de)
Regulärer lokaler Ring
19
3French (fr)
Anneau local régulier
12
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 July 2024

Language versions of the article "정칙 국소환" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Regular local ring
3
2German (de)
Regulärer lokaler Ring
0
3Greek (el)
Κανονικός τοπικός δακτύλιος
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 "정칙 국소환" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Regular local ring
91
2French (fr)
Anneau local régulier
58
3Italian (it)
Anello locale regolare
54
4Korean (ko)
정칙 국소환
25
5Japanese (ja)
正則局所環
21
6Ukrainian (uk)
Регулярне локальне кільце
18
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:
Korean:
Global:
Popularity in July 2024:
Korean:
Global:
Popularity in all years:
Korean:
Global:
Authors in July 2024:
Korean:
Global:
Registered authors in all years:
Korean:
Global:
Citations:
Korean:
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 Korean:
#109040
08.2014
Global:
#645984
12.2008

AI rank trends

Best Rank Korean:
#8926
01.2019
Global:
#75536
03.2004

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Regular local ring from Wikipedia articles about Regular scheme, Cohen–Macaulay ring, Complete intersection ring, Hilberts syzygy theorem and Glossary of algebraic geometry. 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 Cohen–Macaulay 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 15 December 2024

On 15 December 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Syria, Bashar al-Assad, One Hundred Years of Solitude, Ayrton Senna, Mayotte, Kraven the Hunter, Amad Diallo, Empress Elisabeth of Austria, Red One, deaths in 2024.

In Korean Wikipedia the most popular articles on that day were: 양정아, 문화방송, 한덕수, 우원식, 페로 제도, 윤상현 (정치인), 옥씨부인전, 한국교육방송공사, 윤석열, 김승수 (배우).

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 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