Generator (mathematics)

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Generator (mathematics)

Quality:

Generator - element of a generating set, a subset of an algebraic structure that allows specifying all elements of the structure. Article “Generator (mathematics)” in English Wikipedia has 19 points for quality (as of July 1, 2025). The article contains 4 references and 5 sections.

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

In June 2025 the article “Generator (mathematics)” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Generator (mathematics)”, its content was written by 42 registered users of English Wikipedia and edited by 153 registered Wikipedia users in all languages.

The article is cited 90 times in English Wikipedia and cited 421 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3716 in August 2003
  • Global: #9368 in August 2003

The highest popularity rank from 2008:

  • Local (English): #315009 in October 2010
  • Global: #202069 in November 2008

There are 8 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
1German (de)
Erzeugendensystem
35.6583
2Korean (ko)
생성 집합
22.3617
3English (en)
Generator (mathematics)
18.9969
4Galician (gl)
Xerador (matemáticas)
16.6413
5Catalan (ca)
Sistema generador
12.8069
6Italian (it)
Insieme di generatori
11.0016
7Finnish (fi)
Virittäjä (matematiikka)
8.7605
8Dutch (nl)
Voortbrengen (algebra en lineaire algebra)
2.5993
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 "Generator (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1German (de)
Erzeugendensystem
381 994
2English (en)
Generator (mathematics)
311 985
3Italian (it)
Insieme di generatori
102 321
4Dutch (nl)
Voortbrengen (algebra en lineaire algebra)
12 551
5Korean (ko)
생성 집합
6 231
6Catalan (ca)
Sistema generador
2 640
7Finnish (fi)
Virittäjä (matematiikka)
727
8Galician (gl)
Xerador (matemáticas)
66
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 "Generator (mathematics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Generator (mathematics)
1 314
2German (de)
Erzeugendensystem
439
3Italian (it)
Insieme di generatori
125
4Dutch (nl)
Voortbrengen (algebra en lineaire algebra)
32
5Korean (ko)
생성 집합
17
6Galician (gl)
Xerador (matemáticas)
7
7Catalan (ca)
Sistema generador
6
8Finnish (fi)
Virittäjä (matematiikka)
6
More...

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

The highest AI

Language versions of the article "Generator (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1German (de)
Erzeugendensystem
53
2English (en)
Generator (mathematics)
42
3Italian (it)
Insieme di generatori
38
4Dutch (nl)
Voortbrengen (algebra en lineaire algebra)
11
5Catalan (ca)
Sistema generador
4
6Korean (ko)
생성 집합
3
7Finnish (fi)
Virittäjä (matematiikka)
1
8Galician (gl)
Xerador (matemáticas)
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 June 2025

Language versions of the article "Generator (mathematics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Generator (mathematics)
1
2Catalan (ca)
Sistema generador
0
3German (de)
Erzeugendensystem
0
4Finnish (fi)
Virittäjä (matematiikka)
0
5Galician (gl)
Xerador (matemáticas)
0
6Italian (it)
Insieme di generatori
0
7Korean (ko)
생성 집합
0
8Dutch (nl)
Voortbrengen (algebra en lineaire algebra)
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 "Generator (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1German (de)
Erzeugendensystem
214
2English (en)
Generator (mathematics)
90
3Italian (it)
Insieme di generatori
65
4Korean (ko)
생성 집합
20
5Dutch (nl)
Voortbrengen (algebra en lineaire algebra)
14
6Catalan (ca)
Sistema generador
11
7Finnish (fi)
Virittäjä (matematiikka)
4
8Galician (gl)
Xerador (matemáticas)
3
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
caCatalan
Sistema generador
deGerman
Erzeugendensystem
enEnglish
Generator (mathematics)
fiFinnish
Virittäjä (matematiikka)
glGalician
Xerador (matemáticas)
itItalian
Insieme di generatori
koKorean
생성 집합
nlDutch
Voortbrengen (algebra en lineaire algebra)

Popularity rank trends

Best Rank English:
#315009
10.2010
Global:
#202069
11.2008

AI rank trends

Best Rank English:
#3716
08.2003
Global:
#9368
08.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Generator from Wikipedia articles about Group, Generator, Generating set of a group, Basis and Linear span. Whereas reading the article about Generator people most often go to Wikipedia articles on Generating set of a group, Linear span, Subring, Generating set of a module and Generating function.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 5 March 2026

On 5 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Iran, Ali Khamenei, 2026 Iran war, Jeffrey Epstein, Kurds, Strait of Hormuz, Yakovlev Yak-130, Donald Trump, Azerbaijan, Kristi Noem.

In English Wikipedia the most popular articles on that day were: Markwayne Mullin, Kristi Noem, 2026 Iran war, Ali Khamenei, Lou Holtz, Men's T20 World Cup, Iran, IRIS Dena, Corey Lewandowski, Deaths in 2026.

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