Primary decomposition

en

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Primary decomposition

Quality:

Primary decomposition - in algebra, expression of an ideal as the intersection of ideals of a specific type. Article “Primary decomposition” in English Wikipedia has 34.4 points for quality (as of July 1, 2025). The article contains 20 references and 10 sections.

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

Since the creation of article “Primary decomposition”, its content was written by 59 registered users of English Wikipedia and edited by 147 registered Wikipedia users in all languages.

The article is cited 70 times in English Wikipedia and cited 222 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #66277 in March 2020
  • Global: #145670 in September 2017

The highest popularity rank from 2008:

  • Local (English): #300857 in May 2025
  • Global: #383791 in March 2015

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
1French (fr)
Décomposition primaire
35.5562
2English (en)
Primary decomposition
34.4488
3German (de)
Primärzerlegung
23.1999
4Japanese (ja)
準素分解
11.0954
5Italian (it)
Decomposizione primaria
10.2676
6Ukrainian (uk)
Примарний розклад
9.608
7Chinese (zh)
準素分解
7.5242
8Russian (ru)
Теорема Ласкера — Нётер
5.3003
9Hebrew (he)
משפט לסקר-נתר
3.4567
10Dutch (nl)
Stelling van Lasker-Noether
0.291
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 "Primary decomposition" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Primary decomposition
265 783
2German (de)
Primärzerlegung
21 382
3Russian (ru)
Теорема Ласкера — Нётер
19 216
4French (fr)
Décomposition primaire
15 669
5Japanese (ja)
準素分解
13 348
6Italian (it)
Decomposizione primaria
12 536
7Chinese (zh)
準素分解
9 322
8Hebrew (he)
משפט לסקר-נתר
7 308
9Dutch (nl)
Stelling van Lasker-Noether
2 268
10Ukrainian (uk)
Примарний розклад
620
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 "Primary decomposition" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Primary decomposition
1 897
2Japanese (ja)
準素分解
133
3Russian (ru)
Теорема Ласкера — Нётер
128
4Hebrew (he)
משפט לסקר-נתר
70
5German (de)
Primärzerlegung
68
6Chinese (zh)
準素分解
58
7Italian (it)
Decomposizione primaria
57
8French (fr)
Décomposition primaire
50
9Ukrainian (uk)
Примарний розклад
14
10Dutch (nl)
Stelling van Lasker-Noether
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 "Primary decomposition" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Primary decomposition
59
2French (fr)
Décomposition primaire
22
3Italian (it)
Decomposizione primaria
17
4Hebrew (he)
משפט לסקר-נתר
12
5Russian (ru)
Теорема Ласкера — Нётер
11
6German (de)
Primärzerlegung
9
7Japanese (ja)
準素分解
6
8Ukrainian (uk)
Примарний розклад
4
9Chinese (zh)
準素分解
4
10Dutch (nl)
Stelling van Lasker-Noether
3
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 "Primary decomposition" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Primärzerlegung
0
2English (en)
Primary decomposition
0
3French (fr)
Décomposition primaire
0
4Hebrew (he)
משפט לסקר-נתר
0
5Italian (it)
Decomposizione primaria
0
6Japanese (ja)
準素分解
0
7Dutch (nl)
Stelling van Lasker-Noether
0
8Russian (ru)
Теорема Ласкера — Нётер
0
9Ukrainian (uk)
Примарний розклад
0
10Chinese (zh)
準素分解
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 "Primary decomposition" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Primary decomposition
70
2Italian (it)
Decomposizione primaria
49
3Japanese (ja)
準素分解
36
4German (de)
Primärzerlegung
13
5French (fr)
Décomposition primaire
12
6Russian (ru)
Теорема Ласкера — Нётер
12
7Hebrew (he)
משפט לסקר-נתר
10
8Ukrainian (uk)
Примарний розклад
9
9Chinese (zh)
準素分解
7
10Dutch (nl)
Stelling van Lasker-Noether
4
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
Primärzerlegung
enEnglish
Primary decomposition
frFrench
Décomposition primaire
heHebrew
משפט לסקר-נתר
itItalian
Decomposizione primaria
jaJapanese
準素分解
nlDutch
Stelling van Lasker-Noether
ruRussian
Теорема Ласкера — Нётер
ukUkrainian
Примарний розклад
zhChinese
準素分解

Popularity rank trends

Best Rank English:
#300857
05.2025
Global:
#383791
03.2015

AI rank trends

Best Rank English:
#66277
03.2020
Global:
#145670
09.2017

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Primary decomposition from Wikipedia articles about Emanuel Lasker, Noetherian ring, Associated prime, Emmy Noether and Structure theorem for finitely generated modules over a principal ideal domain. Whereas reading the article about Primary decomposition people most often go to Wikipedia articles on Emanuel Lasker, Primary ideal, Noetherian ring, Emmy Noether and Fundamental theorem of arithmetic.

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