Irreducible component

en

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Irreducible component

Quality:

Irreducible component - concept, used to make formal the idea that a set such as defined by the equation XY=0 is the union of the two lines X=0 and Y=0. Article “Irreducible component” in English Wikipedia has 12.6 points for quality (as of July 1, 2025). The article contains 2 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 “Irreducible component”, its content was written by 33 registered users of English Wikipedia and edited by 37 registered Wikipedia users in all languages.

The article is cited 55 times in English Wikipedia and cited 75 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #72731 in January 2024
  • Global: #301645 in April 2015

The highest popularity rank from 2008:

  • Local (English): #477373 in March 2014
  • Global: #830727 in March 2014

There are 2 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)
Irreducible component
12.6431
2Japanese (ja)
既約成分
6.7209
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 "Irreducible component" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Irreducible component
149 909
2Japanese (ja)
既約成分
7 779
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 "Irreducible component" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Irreducible component
1 511
2Japanese (ja)
既約成分
35
More...

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

The highest AI

Language versions of the article "Irreducible component" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Irreducible component
33
2Japanese (ja)
既約成分
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 June 2025

Language versions of the article "Irreducible component" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Irreducible component
0
2Japanese (ja)
既約成分
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 "Irreducible component" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Irreducible component
55
2Japanese (ja)
既約成分
20
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
Irreducible component
jaJapanese
既約成分

Popularity rank trends

Best Rank English:
#477373
03.2014
Global:
#830727
03.2014

AI rank trends

Best Rank English:
#72731
01.2024
Global:
#301645
04.2015

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Irreducible component from Wikipedia articles about Degenerate conic section, Algebraic variety, Noetherian topological space, Degeneracy and Hyperconnected space. Whereas reading the article about Irreducible component people most often go to Wikipedia articles on Hyperconnected space, Algebraic variety, Primary decomposition, Subset and Zariski topology.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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