Prime avoidance lemma

en

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Prime avoidance lemma

Quality:

Prime avoidance lemma - in commutative algebra, the lemma that if an ideal in a commutative ring is contained in a union of finitely many prime ideals, then it is contained in one of the prime ideals. Article “Prime avoidance lemma” in English Wikipedia has 14.2 points for quality (as of July 1, 2025). The article contains 3 references and 5 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Prime avoidance lemma”, its content was written by 15 registered users of English Wikipedia and edited by 26 registered Wikipedia users in all languages.

The article is cited 8 times in English Wikipedia and cited 13 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #61641 in May 2015
  • Global: #189640 in May 2015

The highest popularity rank from 2008:

  • Local (English): #991803 in October 2024
  • Global: #1631189 in October 2024

There are 4 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
1English (en)
Prime avoidance lemma
14.1946
2Ukrainian (uk)
Лема про уникнення простих ідеалів
3.6199
3French (fr)
Lemme d'évitement des idéaux premiers
2.6249
4Spanish (es)
Lema de evitación de ideales primos
1.0422
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 "Prime avoidance lemma" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Prime avoidance lemma
49 218
2French (fr)
Lemme d'évitement des idéaux premiers
5 685
3Spanish (es)
Lema de evitación de ideales primos
569
4Ukrainian (uk)
Лема про уникнення простих ідеалів
145
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 "Prime avoidance lemma" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Prime avoidance lemma
404
2French (fr)
Lemme d'évitement des idéaux premiers
23
3Spanish (es)
Lema de evitación de ideales primos
15
4Ukrainian (uk)
Лема про уникнення простих ідеалів
3
More...

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

The highest AI

Language versions of the article "Prime avoidance lemma" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Prime avoidance lemma
15
2French (fr)
Lemme d'évitement des idéaux premiers
6
3Spanish (es)
Lema de evitación de ideales primos
3
4Ukrainian (uk)
Лема про уникнення простих ідеалів
2
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 "Prime avoidance lemma" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Spanish (es)
Lema de evitación de ideales primos
1
2English (en)
Prime avoidance lemma
0
3French (fr)
Lemme d'évitement des idéaux premiers
0
4Ukrainian (uk)
Лема про уникнення простих ідеалів
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 "Prime avoidance lemma" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Prime avoidance lemma
8
2French (fr)
Lemme d'évitement des idéaux premiers
3
3Spanish (es)
Lema de evitación de ideales primos
1
4Ukrainian (uk)
Лема про уникнення простих ідеалів
1
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
enEnglish
Prime avoidance lemma
esSpanish
Lema de evitación de ideales primos
frFrench
Lemme d'évitement des idéaux premiers
ukUkrainian
Лема про уникнення простих ідеалів

Popularity rank trends

Best Rank English:
#991803
10.2024
Global:
#1631189
10.2024

AI rank trends

Best Rank English:
#61641
05.2015
Global:
#189640
05.2015

Languages comparison

Important global interconnections (July 2024 – June 2025)

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