Inverse semigroup

en

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Inverse semigroup

Quality:

Inverse semigroup - regular semigroup in which every element has a unique inverse. Article “Inverse semigroup” in English Wikipedia has 48.7 points for quality (as of July 1, 2025). The article contains 38 references and 16 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 “Inverse semigroup”, its content was written by 48 registered users of English Wikipedia and edited by 77 registered Wikipedia users in all languages.

The article is cited 45 times in English Wikipedia and cited 64 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #74645 in April 2020
  • Global: #197179 in November 2014

The highest popularity rank from 2008:

  • Local (English): #508546 in March 2014
  • Global: #848698 in March 2014

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)
Inverse semigroup
48.7195
2German (de)
Inverse Halbgruppe
29.8622
3French (fr)
Demi-groupe inversif
25.8264
4Portuguese (pt)
Semigrupo inverso
20.1233
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 "Inverse semigroup" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Inverse semigroup
101 589
2Portuguese (pt)
Semigrupo inverso
3 480
3German (de)
Inverse Halbgruppe
2 846
4French (fr)
Demi-groupe inversif
2 818
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 "Inverse semigroup" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Inverse semigroup
458
2French (fr)
Demi-groupe inversif
19
3German (de)
Inverse Halbgruppe
13
4Portuguese (pt)
Semigrupo inverso
9
More...

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

The highest AI

Language versions of the article "Inverse semigroup" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Inverse semigroup
48
2French (fr)
Demi-groupe inversif
16
3German (de)
Inverse Halbgruppe
9
4Portuguese (pt)
Semigrupo inverso
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 "Inverse semigroup" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Inverse Halbgruppe
0
2English (en)
Inverse semigroup
0
3French (fr)
Demi-groupe inversif
0
4Portuguese (pt)
Semigrupo inverso
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 "Inverse semigroup" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Inverse semigroup
45
2French (fr)
Demi-groupe inversif
10
3Portuguese (pt)
Semigrupo inverso
7
4German (de)
Inverse Halbgruppe
2
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
Inverse Halbgruppe
enEnglish
Inverse semigroup
frFrench
Demi-groupe inversif
ptPortuguese
Semigrupo inverso

Popularity rank trends

Best Rank English:
#508546
03.2014
Global:
#848698
03.2014

AI rank trends

Best Rank English:
#74645
04.2020
Global:
#197179
11.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Inverse semigroup from Wikipedia articles about Semigroup, Cayleys theorem, Symmetric inverse semigroup, Special classes of semigroups and Regular semigroup. Whereas reading the article about Inverse semigroup people most often go to Wikipedia articles on Regular semigroup, Semigroup, Symmetric inverse semigroup, Greens relations and Cayleys theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

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