Completion of a ring

en

WikiRank.net
ver. 1.6.2

Completion of a ring

Quality:

Completion - in algebra, any of several related functors on rings and modules that result in complete topological rings and modules. Article “Completion of a ring” in English Wikipedia has 19 points for quality (as of July 1, 2025). The article contains 5 references and 7 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 “Completion of a ring”, its content was written by 42 registered users of English Wikipedia and edited by 88 registered Wikipedia users in all languages.

The article is cited 91 times in English Wikipedia and cited 329 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #74391 in March 2019
  • Global: #139682 in November 2018

The highest popularity rank from 2008:

  • Local (English): #273910 in January 2015
  • Global: #440312 in January 2015

There are 9 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)
Completion of a ring
18.9924
2Ukrainian (uk)
Поповнення (комутативна алгебра)
16.3218
3German (de)
Vervollständigung (Kommutative Algebra)
16.1638
4Korean (ko)
완비화 (환론)
15.4019
5Japanese (ja)
完備化 (環論)
13.2134
6Italian (it)
Completamento di un anello
10.6798
7French (fr)
Complétion (algèbre)
9.8948
8Chinese (zh)
完備化 (環論)
7.4579
9Spanish (es)
Compleción (álgebra)
3.2397
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 "Completion of a ring" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Completion of a ring
198 773
2Japanese (ja)
完備化 (環論)
21 302
3Chinese (zh)
完備化 (環論)
8 943
4German (de)
Vervollständigung (Kommutative Algebra)
8 595
5Italian (it)
Completamento di un anello
6 026
6Spanish (es)
Compleción (álgebra)
3 489
7French (fr)
Complétion (algèbre)
3 305
8Korean (ko)
완비화 (환론)
1 593
9Ukrainian (uk)
Поповнення (комутативна алгебра)
434
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 "Completion of a ring" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Completion of a ring
999
2Japanese (ja)
完備化 (環論)
208
3German (de)
Vervollständigung (Kommutative Algebra)
37
4Chinese (zh)
完備化 (環論)
36
5French (fr)
Complétion (algèbre)
31
6Italian (it)
Completamento di un anello
21
7Spanish (es)
Compleción (álgebra)
19
8Korean (ko)
완비화 (환론)
6
9Ukrainian (uk)
Поповнення (комутативна алгебра)
4
More...

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

The highest AI

Language versions of the article "Completion of a ring" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Completion of a ring
42
2German (de)
Vervollständigung (Kommutative Algebra)
14
3French (fr)
Complétion (algèbre)
9
4Chinese (zh)
完備化 (環論)
7
5Italian (it)
Completamento di un anello
5
6Japanese (ja)
完備化 (環論)
4
7Spanish (es)
Compleción (álgebra)
3
8Ukrainian (uk)
Поповнення (комутативна алгебра)
3
9Korean (ko)
완비화 (환론)
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 "Completion of a ring" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Vervollständigung (Kommutative Algebra)
0
2English (en)
Completion of a ring
0
3Spanish (es)
Compleción (álgebra)
0
4French (fr)
Complétion (algèbre)
0
5Italian (it)
Completamento di un anello
0
6Japanese (ja)
完備化 (環論)
0
7Korean (ko)
완비화 (환론)
0
8Ukrainian (uk)
Поповнення (комутативна алгебра)
0
9Chinese (zh)
完備化 (環論)
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 "Completion of a ring" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
完備化 (環論)
98
2English (en)
Completion of a ring
91
3Italian (it)
Completamento di un anello
50
4Japanese (ja)
完備化 (環論)
22
5German (de)
Vervollständigung (Kommutative Algebra)
18
6Ukrainian (uk)
Поповнення (комутативна алгебра)
18
7Korean (ko)
완비화 (환론)
17
8French (fr)
Complétion (algèbre)
10
9Spanish (es)
Compleción (álgebra)
5
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
Vervollständigung (Kommutative Algebra)
enEnglish
Completion of a ring
esSpanish
Compleción (álgebra)
frFrench
Complétion (algèbre)
itItalian
Completamento di un anello
jaJapanese
完備化 (環論)
koKorean
완비화 (환론)
ukUkrainian
Поповнення (комутативна алгебра)
zhChinese
完備化 (環論)

Popularity rank trends

Best Rank English:
#273910
01.2015
Global:
#440312
01.2015

AI rank trends

Best Rank English:
#74391
03.2019
Global:
#139682
11.2018

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Completion from Wikipedia articles about Completion, P-adic number, Completeness, I-adic topology and Hensels lemma. Whereas reading the article about Completion people most often go to Wikipedia articles on Inverse limit, I-adic topology, Hensels lemma, Filtration and Topological ring.

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