Hilbert's basis theorem

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Hilbert's basis theorem

Quality:

Hilbert's basis theorem - theorem. Article "Hilbert's basis theorem" in English Wikipedia has 20.4 points for quality (as of July 1, 2025). The article contains 5 references and 8 sections.

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

Since the creation of article "Hilbert's basis theorem", its content was written by 65 registered users of English Wikipedia and edited by 224 registered Wikipedia users in all languages.

The article is cited 50 times in English Wikipedia and cited 391 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3240 in April 2002
  • Global: #4348 in April 2002

The highest popularity rank from 2008:

  • Local (English): #374718 in September 2020
  • Global: #387336 in March 2015

There are 16 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)
Hilbertscher Basissatz
24.8859
2English (en)
Hilbert's basis theorem
20.4368
3Indonesian (id)
Teorema basis Hilbert
18.6915
4Polish (pl)
Twierdzenie Hilberta o bazie
17.8863
5Chinese (zh)
希尔伯特基定理
13.0586
6Hebrew (he)
משפט הבסיס של הילברט
10.6872
7Spanish (es)
Teorema de la base de Hilbert
9.1883
8Korean (ko)
힐베르트 기저 정리
9.1142
9Italian (it)
Teorema della base di Hilbert
7.1878
10French (fr)
Théorème de la base de Hilbert
4.9766
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 "Hilbert's basis theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hilbert's basis theorem
310 536
2German (de)
Hilbertscher Basissatz
40 927
3Italian (it)
Teorema della base di Hilbert
38 845
4Spanish (es)
Teorema de la base de Hilbert
38 663
5Russian (ru)
Теорема Гильберта о базисе
24 875
6Polish (pl)
Twierdzenie Hilberta o bazie
13 361
7French (fr)
Théorème de la base de Hilbert
12 984
8Hebrew (he)
משפט הבסיס של הילברט
8 294
9Chinese (zh)
希尔伯特基定理
7 906
10Portuguese (pt)
Teorema da base de Hilbert
5 895
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 "Hilbert's basis theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hilbert's basis theorem
1 553
2Russian (ru)
Теорема Гильберта о базисе
176
3Spanish (es)
Teorema de la base de Hilbert
126
4German (de)
Hilbertscher Basissatz
109
5Italian (it)
Teorema della base di Hilbert
90
6Chinese (zh)
希尔伯特基定理
81
7French (fr)
Théorème de la base de Hilbert
50
8Hebrew (he)
משפט הבסיס של הילברט
36
9Portuguese (pt)
Teorema da base de Hilbert
22
10Dutch (nl)
Basisstelling van Hilbert
20
More...

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

The highest AI

Language versions of the article "Hilbert's basis theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hilbert's basis theorem
65
2German (de)
Hilbertscher Basissatz
31
3Italian (it)
Teorema della base di Hilbert
25
4French (fr)
Théorème de la base de Hilbert
20
5Hebrew (he)
משפט הבסיס של הילברט
19
6Spanish (es)
Teorema de la base de Hilbert
13
7Polish (pl)
Twierdzenie Hilberta o bazie
13
8Russian (ru)
Теорема Гильберта о базисе
10
9Dutch (nl)
Basisstelling van Hilbert
7
10Czech (cs)
Hilbertova věta o bázi
5
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 "Hilbert's basis theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Hebrew (he)
משפט הבסיס של הילברט
2
2Czech (cs)
Hilbertova věta o bázi
0
3German (de)
Hilbertscher Basissatz
0
4English (en)
Hilbert's basis theorem
0
5Spanish (es)
Teorema de la base de Hilbert
0
6French (fr)
Théorème de la base de Hilbert
0
7Indonesian (id)
Teorema basis Hilbert
0
8Italian (it)
Teorema della base di Hilbert
0
9Korean (ko)
힐베르트 기저 정리
0
10Dutch (nl)
Basisstelling van Hilbert
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 "Hilbert's basis theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Teorema della base di Hilbert
213
2English (en)
Hilbert's basis theorem
50
3Russian (ru)
Теорема Гильберта о базисе
20
4German (de)
Hilbertscher Basissatz
17
5Spanish (es)
Teorema de la base de Hilbert
14
6French (fr)
Théorème de la base de Hilbert
14
7Hebrew (he)
משפט הבסיס של הילברט
10
8Ukrainian (uk)
Теорема Гільберта про базис
9
9Chinese (zh)
希尔伯特基定理
9
10Polish (pl)
Twierdzenie Hilberta o bazie
7
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
csCzech
Hilbertova věta o bázi
deGerman
Hilbertscher Basissatz
enEnglish
Hilbert's basis theorem
esSpanish
Teorema de la base de Hilbert
frFrench
Théorème de la base de Hilbert
heHebrew
משפט הבסיס של הילברט
idIndonesian
Teorema basis Hilbert
itItalian
Teorema della base di Hilbert
koKorean
힐베르트 기저 정리
nlDutch
Basisstelling van Hilbert
plPolish
Twierdzenie Hilberta o bazie
ptPortuguese
Teorema da base de Hilbert
ruRussian
Теорема Гильберта о базисе
svSwedish
Hilberts bassats
ukUkrainian
Теорема Гільберта про базис
zhChinese
希尔伯特基定理

Popularity rank trends

Best Rank English:
#374718
09.2020
Global:
#387336
03.2015

AI rank trends

Best Rank English:
#3240
04.2002
Global:
#4348
04.2002

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 Hilbert's basis theorem from Wikipedia articles about David Hilbert, Hilberts Nullstellensatz, Noetherian ring, Brouwer–Hilbert controversy and Hilbert basis. Whereas reading the article about Hilbert's basis theorem people most often go to Wikipedia articles on Noetherian ring, Hilberts syzygy theorem, Hilberts Nullstellensatz, Invariant theory and Ideal.

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