Maximal and minimal elements

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Maximal and minimal elements

Quality:

Maximal and minimal elements - elements of partially ordered sets such that there is not greater and smaller than each other element, respectively (but there can be incomparable elements). Article "Maximal and minimal elements" in English Wikipedia has 34.9 points for quality (as of July 1, 2025). The article contains 10 references and 11 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 "Maximal and minimal elements", its content was written by 46 registered users of English Wikipedia and edited by 217 registered Wikipedia users in all languages.

The article is cited 142 times in English Wikipedia and cited 802 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #26579 in October 2004
  • Global: #36976 in October 2004

The highest popularity rank from 2008:

  • Local (English): #140931 in December 2014
  • Global: #192520 in December 2014

There are 21 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)
Maximal and minimal elements
34.9484
2Chinese (zh)
極大與極小元
25.4986
3Hebrew (he)
איבר מינימלי ומקסימלי
24.1469
4Polish (pl)
Elementy minimalny i maksymalny
23.6056
5Croatian (hr)
Maksimalni i minimalni elementi
21.9796
6Galician (gl)
Elemento maximal e minimal
19.8498
7Vietnamese (vi)
Phần tử tối đại và phần tử tối tiểu
17.1607
8Korean (ko)
극대 원소와 극소 원소
16.2062
9Persian (fa)
عناصر ماکسیمال و مینیمال
16.0611
10Romanian (ro)
Maximal
12.3715
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 "Maximal and minimal elements" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Maximal and minimal elements
542 151
2Spanish (es)
Elementos maximal y minimal
125 696
3Polish (pl)
Elementy minimalny i maksymalny
87 049
4German (de)
Maximales und minimales Element
85 987
5French (fr)
Élément maximal
56 917
6Russian (ru)
Максимальные и минимальные элементы
39 943
7Chinese (zh)
極大與極小元
23 567
8Korean (ko)
극대 원소와 극소 원소
17 559
9Czech (cs)
Minimální a maximální prvek
16 350
10Vietnamese (vi)
Phần tử tối đại và phần tử tối tiểu
14 929
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 "Maximal and minimal elements" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Maximal and minimal elements
1 529
2Russian (ru)
Максимальные и минимальные элементы
258
3Spanish (es)
Elementos maximal y minimal
200
4Polish (pl)
Elementy minimalny i maksymalny
151
5German (de)
Maximales und minimales Element
136
6Korean (ko)
극대 원소와 극소 원소
132
7French (fr)
Élément maximal
126
8Chinese (zh)
極大與極小元
110
9Vietnamese (vi)
Phần tử tối đại và phần tử tối tiểu
79
10Hebrew (he)
איבר מינימלי ומקסימלי
31
More...

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

The highest AI

Language versions of the article "Maximal and minimal elements" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Maximal and minimal elements
46
2German (de)
Maximales und minimales Element
24
3French (fr)
Élément maximal
21
4Polish (pl)
Elementy minimalny i maksymalny
20
5Russian (ru)
Максимальные и минимальные элементы
13
6Spanish (es)
Elementos maximal y minimal
10
7Dutch (nl)
Maximaal en minimaal element
10
8Swedish (sv)
Maximum
10
9Chinese (zh)
極大與極小元
9
10Hebrew (he)
איבר מינימלי ומקסימלי
8
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 "Maximal and minimal elements" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Russian (ru)
Максимальные и минимальные элементы
1
2Swedish (sv)
Maximum
1
3Catalan (ca)
Maximal i minimal (elements)
0
4Czech (cs)
Minimální a maximální prvek
0
5German (de)
Maximales und minimales Element
0
6English (en)
Maximal and minimal elements
0
7Spanish (es)
Elementos maximal y minimal
0
8Persian (fa)
عناصر ماکسیمال و مینیمال
0
9French (fr)
Élément maximal
0
10Galician (gl)
Elemento maximal e minimal
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 "Maximal and minimal elements" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Maximal and minimal elements
142
2Korean (ko)
극대 원소와 극소 원소
93
3Ukrainian (uk)
Максимальні та мінімальні елементи
92
4French (fr)
Élément maximal
80
5Polish (pl)
Elementy minimalny i maksymalny
61
6Russian (ru)
Максимальные и минимальные элементы
55
7Hebrew (he)
איבר מינימלי ומקסימלי
51
8German (de)
Maximales und minimales Element
41
9Chinese (zh)
極大與極小元
33
10Spanish (es)
Elementos maximal y minimal
32
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
Maximal i minimal (elements)
csCzech
Minimální a maximální prvek
deGerman
Maximales und minimales Element
enEnglish
Maximal and minimal elements
esSpanish
Elementos maximal y minimal
faPersian
عناصر ماکسیمال و مینیمال
frFrench
Élément maximal
glGalician
Elemento maximal e minimal
heHebrew
איבר מינימלי ומקסימלי
hrCroatian
Maksimalni i minimalni elementi
koKorean
극대 원소와 극소 원소
nlDutch
Maximaal en minimaal element
plPolish
Elementy minimalny i maksymalny
ptPortuguese
Elemento minimal
roRomanian
Maximal
ruRussian
Максимальные и минимальные элементы
srSerbian
Максималан и минималан елеменат скупа
svSwedish
Maximum
ukUkrainian
Максимальні та мінімальні елементи
viVietnamese
Phần tử tối đại và phần tử tối tiểu
zhChinese
極大與極小元

Popularity rank trends

Best Rank English:
#140931
12.2014
Global:
#192520
12.2014

AI rank trends

Best Rank English:
#26579
10.2004
Global:
#36976
10.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Maximal and minimal elements from Wikipedia articles about Zorns lemma, Infimum and supremum, Greatest and least elements, Well-founded relation and Complex number. Whereas reading the article about Maximal and minimal elements people most often go to Wikipedia articles on Greatest and least elements, Preorder, Partially ordered set, Order theory and Infimum and supremum.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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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