剰余体

ja

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剰余体

Quality:

Residue field - field arising from a quotient ring by a maximal ideal. Article “剰余体” in Japanese Wikipedia has 6 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 “剰余体”, its content was written by 4 registered users of Japanese Wikipedia and edited by 56 registered Wikipedia users in all languages.

The article is cited 30 times in Japanese Wikipedia and cited 212 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #26562 in July 2014
  • Global: #28851 in July 2003

The highest popularity rank from 2008:

  • Local (Japanese): #522903 in June 2020
  • Global: #653648 in December 2008

There are 8 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)
Σώμα υπολοίπων
21.5271
2Vietnamese (vi)
Trường thặng dư
19.2947
3English (en)
Residue field
19.0167
4Persian (fa)
میدان مانده
14.7976
5Japanese (ja)
剰余体
5.9916
6German (de)
Restklassenkörper
4.9553
7Korean (ko)
잉여류체
3.0989
8French (fr)
Corps résiduel
1.9378
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 "剰余体" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Residue field
124 230
2German (de)
Restklassenkörper
86 609
3Japanese (ja)
剰余体
12 407
4French (fr)
Corps résiduel
9 547
5Korean (ko)
잉여류체
1 310
6Persian (fa)
میدان مانده
317
7Vietnamese (vi)
Trường thặng dư
274
8Greek (el)
Σώμα υπολοίπων
19
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 "剰余体" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Residue field
764
2German (de)
Restklassenkörper
182
3Japanese (ja)
剰余体
90
4French (fr)
Corps résiduel
59
5Greek (el)
Σώμα υπολοίπων
19
6Korean (ko)
잉여류체
13
7Persian (fa)
میدان مانده
8
8Vietnamese (vi)
Trường thặng dư
7
More...

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

The highest AI

Language versions of the article "剰余体" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Residue field
22
2German (de)
Restklassenkörper
21
3Japanese (ja)
剰余体
4
4French (fr)
Corps résiduel
3
5Korean (ko)
잉여류체
2
6Vietnamese (vi)
Trường thặng dư
2
7Greek (el)
Σώμα υπολοίπων
1
8Persian (fa)
میدان مانده
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 "剰余体" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Greek (el)
Σώμα υπολοίπων
1
2German (de)
Restklassenkörper
0
3English (en)
Residue field
0
4Persian (fa)
میدان مانده
0
5French (fr)
Corps résiduel
0
6Japanese (ja)
剰余体
0
7Korean (ko)
잉여류체
0
8Vietnamese (vi)
Trường thặng dư
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 "剰余体" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Residue field
86
2German (de)
Restklassenkörper
50
3Japanese (ja)
剰余体
30
4Korean (ko)
잉여류체
22
5French (fr)
Corps résiduel
19
6Persian (fa)
میدان مانده
2
7Vietnamese (vi)
Trường thặng dư
2
8Greek (el)
Σώμα υπολοίπων
1
More...

Scores

Estimated value for Wikipedia:
Japanese:
Global:
Popularity in June 2025:
Japanese:
Global:
Popularity in all years:
Japanese:
Global:
Authors in June 2025:
Japanese:
Global:
Registered authors in all years:
Japanese:
Global:
Citations:
Japanese:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Restklassenkörper
elGreek
Σώμα υπολοίπων
enEnglish
Residue field
faPersian
میدان مانده
frFrench
Corps résiduel
jaJapanese
剰余体
koKorean
잉여류체
viVietnamese
Trường thặng dư

Popularity rank trends

Best Rank Japanese:
#522903
06.2020
Global:
#653648
12.2008

AI rank trends

Best Rank Japanese:
#26562
07.2014
Global:
#28851
07.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Residue field from Wikipedia articles about Local field, Field, Quotient ring, Prime field and Ring of integers modulo n. Whereas reading the article about Residue field people most often go to Wikipedia articles on Local ring, Maximal ideal, Finite field, Arithmetic zeta function and Scheme.

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 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In Japanese Wikipedia the most popular articles on that day were: 黒岩里奈, 堀島行真, 安野貴博, 竹内涼真, 教場 (テレビドラマ), 平野歩夢, 三浦璃来, 木原龍一, 吉村紗也香, 髙木美帆.

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