Unique factorization domain

en

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Unique factorization domain

Quality:

Unique factorization domain - integral domain where every nonzero element is uniquely expressible as a product of prime elements. Article "Unique factorization domain" in English Wikipedia has 22.3 points for quality (as of July 1, 2025). The article contains 7 references and 8 sections.

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

Since the creation of article "Unique factorization domain", its content was written by 101 registered users of English Wikipedia and edited by 411 registered Wikipedia users in all languages.

The article is cited 157 times in English Wikipedia and cited 1200 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #4594 in November 2002
  • Global: #8579 in November 2002

The highest popularity rank from 2008:

  • Local (English): #161158 in January 2015
  • Global: #166154 in January 2015

There are 22 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)
Unique factorization domain
22.323
2Arabic (ar)
مجال ذو تفكيك وحيد (جبر)
21.2208
3French (fr)
Anneau factoriel
20.6316
4Esperanto (eo)
Faktoreca ringo
18.5676
5Korean (ko)
유일 인수 분해 정역
17.8709
6Galician (gl)
Dominio de factorización única
16.3586
7Japanese (ja)
一意分解環
13.8501
8German (de)
Faktorieller Ring
13.71
9Chinese (zh)
唯一分解整環
13.1934
10Portuguese (pt)
Domínio fatorial
11.2952
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 "Unique factorization domain" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Unique factorization domain
790 456
2German (de)
Faktorieller Ring
155 757
3Japanese (ja)
一意分解環
117 885
4French (fr)
Anneau factoriel
108 100
5Spanish (es)
Dominio de factorización única
70 742
6Russian (ru)
Факториальное кольцо
66 062
7Italian (it)
Dominio a fattorizzazione unica
47 335
8Chinese (zh)
唯一分解整環
37 210
9Polish (pl)
Pierścień z jednoznacznością rozkładu
35 087
10Korean (ko)
유일 인수 분해 정역
25 014
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 "Unique factorization domain" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Unique factorization domain
4 315
2Japanese (ja)
一意分解環
610
3French (fr)
Anneau factoriel
325
4German (de)
Faktorieller Ring
305
5Russian (ru)
Факториальное кольцо
259
6Spanish (es)
Dominio de factorización única
183
7Chinese (zh)
唯一分解整環
137
8Italian (it)
Dominio a fattorizzazione unica
121
9Korean (ko)
유일 인수 분해 정역
103
10Polish (pl)
Pierścień z jednoznacznością rozkładu
70
More...

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

The highest AI

Language versions of the article "Unique factorization domain" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Unique factorization domain
101
2French (fr)
Anneau factoriel
62
3German (de)
Faktorieller Ring
56
4Italian (it)
Dominio a fattorizzazione unica
30
5Japanese (ja)
一意分解環
25
6Dutch (nl)
Uniek factorisatiedomein
21
7Russian (ru)
Факториальное кольцо
20
8Chinese (zh)
唯一分解整環
14
9Portuguese (pt)
Domínio fatorial
11
10Spanish (es)
Dominio de factorización única
10
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 "Unique factorization domain" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Faktorieller Ring
2
2Dutch (nl)
Uniek factorisatiedomein
1
3Arabic (ar)
مجال ذو تفكيك وحيد (جبر)
0
4Catalan (ca)
Anell factorial
0
5Czech (cs)
Gaussův obor integrity
0
6English (en)
Unique factorization domain
0
7Esperanto (eo)
Faktoreca ringo
0
8Spanish (es)
Dominio de factorización única
0
9Persian (fa)
حوزه تجزیه یکتا
0
10French (fr)
Anneau factoriel
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 "Unique factorization domain" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Dominio a fattorizzazione unica
219
2English (en)
Unique factorization domain
157
3Chinese (zh)
唯一分解整環
147
4French (fr)
Anneau factoriel
112
5Korean (ko)
유일 인수 분해 정역
78
6Japanese (ja)
一意分解環
67
7German (de)
Faktorieller Ring
49
8Polish (pl)
Pierścień z jednoznacznością rozkładu
45
9Spanish (es)
Dominio de factorización única
40
10Russian (ru)
Факториальное кольцо
39
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
arArabic
مجال ذو تفكيك وحيد (جبر)
caCatalan
Anell factorial
csCzech
Gaussův obor integrity
deGerman
Faktorieller Ring
enEnglish
Unique factorization domain
eoEsperanto
Faktoreca ringo
esSpanish
Dominio de factorización única
faPersian
حوزه تجزیه یکتا
frFrench
Anneau factoriel
glGalician
Dominio de factorización única
heHebrew
תחום פריקות יחידה
itItalian
Dominio a fattorizzazione unica
jaJapanese
一意分解環
koKorean
유일 인수 분해 정역
nlDutch
Uniek factorisatiedomein
plPolish
Pierścień z jednoznacznością rozkładu
ptPortuguese
Domínio fatorial
roRomanian
Inel factorial
ruRussian
Факториальное кольцо
svSwedish
EF-ring
ukUkrainian
Факторіальне кільце
zhChinese
唯一分解整環

Popularity rank trends

Best Rank English:
#161158
01.2015
Global:
#166154
01.2015

AI rank trends

Best Rank English:
#4594
11.2002
Global:
#8579
11.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Unique factorization domain from Wikipedia articles about Principal ideal domain, Fundamental theorem of arithmetic, Euclidean domain, Integral domain and GCD domain. Whereas reading the article about Unique factorization domain people most often go to Wikipedia articles on Irreducible element, Principal ideal domain, Integral domain, Euclidean domain and GCD domain.

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