主イデアル整域上の有限生成加群の構造定理

ja

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主イデアル整域上の有限生成加群の構造定理

Quality:

Structure theorem for finitely generated modules over a principal ideal domain - result in abstract algebra. Article "主イデアル整域上の有限生成加群の構造定理" in Japanese Wikipedia has 10.6 points for quality (as of November 1, 2023). The article contains 0 references and 13 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "主イデアル整域上の有限生成加群の構造定理", its content was written by 3 registered users of Japanese Wikipedia and edited by 108 registered Wikipedia users in all languages.

The article is cited 21 times in Japanese Wikipedia and cited 201 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #13486 in January 2017
  • Global: #112940 in July 2013

The highest popularity rank from 2008:

  • Local (Japanese): #347958 in December 2022
  • Global: #418843 in January 2015

There are 7 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1French (fr)
Théorème des facteurs invariants
34.3243
2Catalan (ca)
Teorema d'estructura dels mòduls finitament generats sobre un domini d'ideals principals
25.141
3English (en)
Structure theorem for finitely generated modules over a principal ideal domain
23.3193
4Japanese (ja)
主イデアル整域上の有限生成加群の構造定理
10.6311
5Russian (ru)
Структурная теорема для конечнопорождённых модулей над областями главных идеалов
8.8808
6Ukrainian (uk)
Структурна теорема для скінченнопороджених модулів над областями головних ідеалів
8.5246
7Vietnamese (vi)
Định lý cấu trúc cho các mô đun hữu hạn sinh trên một vành chính
4.7586
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 "主イデアル整域上の有限生成加群の構造定理" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Structure theorem for finitely generated modules over a principal ideal domain
235 348
2French (fr)
Théorème des facteurs invariants
62 644
3Japanese (ja)
主イデアル整域上の有限生成加群の構造定理
12 562
4Russian (ru)
Структурная теорема для конечнопорождённых модулей над областями главных идеалов
12 486
5Catalan (ca)
Teorema d'estructura dels mòduls finitament generats sobre un domini d'ideals principals
889
6Vietnamese (vi)
Định lý cấu trúc cho các mô đun hữu hạn sinh trên một vành chính
263
7Ukrainian (uk)
Структурна теорема для скінченнопороджених модулів над областями головних ідеалів
114
More...

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

Most popular in October 2023

The most popular language versions of the article "主イデアル整域上の有限生成加群の構造定理" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Structure theorem for finitely generated modules over a principal ideal domain
1 989
2French (fr)
Théorème des facteurs invariants
302
3Russian (ru)
Структурная теорема для конечнопорождённых модулей над областями главных идеалов
295
4Japanese (ja)
主イデアル整域上の有限生成加群の構造定理
179
5Catalan (ca)
Teorema d'estructura dels mòduls finitament generats sobre un domini d'ideals principals
3
6Vietnamese (vi)
Định lý cấu trúc cho các mô đun hữu hạn sinh trên một vành chính
2
7Ukrainian (uk)
Структурна теорема для скінченнопороджених модулів над областями головних ідеалів
0
More...

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

The highest AI

Language versions of the article "主イデアル整域上の有限生成加群の構造定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Structure theorem for finitely generated modules over a principal ideal domain
52
2French (fr)
Théorème des facteurs invariants
38
3Catalan (ca)
Teorema d'estructura dels mòduls finitament generats sobre un domini d'ideals principals
6
4Russian (ru)
Структурная теорема для конечнопорождённых модулей над областями главных идеалов
6
5Japanese (ja)
主イデアル整域上の有限生成加群の構造定理
3
6Ukrainian (uk)
Структурна теорема для скінченнопороджених модулів над областями головних ідеалів
2
7Vietnamese (vi)
Định lý cấu trúc cho các mô đun hữu hạn sinh trên một vành chính
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 October 2023

Language versions of the article "主イデアル整域上の有限生成加群の構造定理" with the highest AI in October 2023
#LanguageAI awardRelative AI
1French (fr)
Théorème des facteurs invariants
2
2Catalan (ca)
Teorema d'estructura dels mòduls finitament generats sobre un domini d'ideals principals
0
3English (en)
Structure theorem for finitely generated modules over a principal ideal domain
0
4Japanese (ja)
主イデアル整域上の有限生成加群の構造定理
0
5Russian (ru)
Структурная теорема для конечнопорождённых модулей над областями главных идеалов
0
6Ukrainian (uk)
Структурна теорема для скінченнопороджених модулів над областями головних ідеалів
0
7Vietnamese (vi)
Định lý cấu trúc cho các mô đun hữu hạn sinh trên một vành chính
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 "主イデアル整域上の有限生成加群の構造定理" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Théorème des facteurs invariants
107
2English (en)
Structure theorem for finitely generated modules over a principal ideal domain
39
3Japanese (ja)
主イデアル整域上の有限生成加群の構造定理
21
4Catalan (ca)
Teorema d'estructura dels mòduls finitament generats sobre un domini d'ideals principals
16
5Russian (ru)
Структурная теорема для конечнопорождённых модулей над областями главных идеалов
13
6Ukrainian (uk)
Структурна теорема для скінченнопороджених модулів над областями головних ідеалів
4
7Vietnamese (vi)
Định lý cấu trúc cho các mô đun hữu hạn sinh trên một vành chính
1
More...

Scores

Estimated value for Wikipedia:
Japanese:
Global:
Popularity in October 2023:
Japanese:
Global:
Popularity in all years:
Japanese:
Global:
Authors in October 2023:
Japanese:
Global:
Registered authors in all years:
Japanese:
Global:
Citations:
Japanese:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema d'estructura dels mòduls finitament generats sobre un domini d'ideals principals
enEnglish
Structure theorem for finitely generated modules over a principal ideal domain
frFrench
Théorème des facteurs invariants
jaJapanese
主イデアル整域上の有限生成加群の構造定理
ruRussian
Структурная теорема для конечнопорождённых модулей над областями главных идеалов
ukUkrainian
Структурна теорема для скінченнопороджених модулів над областями головних ідеалів
viVietnamese
Định lý cấu trúc cho các mô đun hữu hạn sinh trên một vành chính

Popularity rank trends

Best Rank Japanese:
#347958
12.2022
Global:
#418843
01.2015

AI rank trends

Best Rank Japanese:
#13486
01.2017
Global:
#112940
07.2013

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Structure theorem for finitely generated modules over a principal ideal domain from Wikipedia articles about Finitely generated abelian group, Structure theorem, Smith normal form, Principal ideal domain and Module. Whereas reading the article about Structure theorem for finitely generated modules over a principal ideal domain people most often go to Wikipedia articles on Finitely generated abelian group, Smith normal form, Primary decomposition, Finitely generated module and Principal ideal domain.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 11 June 2024

On 11 June 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: UEFA Euro 2024, ChatGPT, 2026 FIFA World Cup qualification (AFC), Cristiano Ronaldo, YouTube, UEFA European Championship, deaths in 2024, Malawi, 2024 European Athletics Championships, Hunter Biden.

In Japanese Wikipedia the most popular articles on that day were: ホテルニュージャパン火災, 池脇千鶴, 横井英樹, 神戸蘭子, 三浦宏規, 磯山晶, 吉田羊, 武尊, 若葉竜也, 日本航空350便墜落事故.

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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information