Morphisme plat

Quality:

Flat morphism - scheme morphism such that the induced map on every stalk is a flat map of rings. Article "Morphisme plat" in French Wikipedia has 11.3 points for quality (as of August 1, 2024). The article contains 3 references and 6 sections.

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

Since the creation of article "Morphisme plat", its content was written by 8 registered users of French Wikipedia and edited by 51 registered Wikipedia users in all languages.

The article is cited 5 times in French Wikipedia and cited 75 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (French): #24841 in October 2016
  • Global: #129521 in April 2004

The highest popularity rank from 2008:

  • Local (French): #321366 in October 2016
  • Global: #1016532 in February 2014

There are 4 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 August 1, 2024 (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)
Flat morphism
53.5516
2Japanese (ja)
平坦射
32.6958
3German (de)
Flacher Morphismus
21.9412
4French (fr)
Morphisme plat
11.3303
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 "Morphisme plat" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Flat morphism
131 638
2French (fr)
Morphisme plat
5 349
3Japanese (ja)
平坦射
1 573
4German (de)
Flacher Morphismus
159
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in July 2024

The most popular language versions of the article "Morphisme plat" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Flat morphism
924
2Japanese (ja)
平坦射
63
3French (fr)
Morphisme plat
13
4German (de)
Flacher Morphismus
5
More...

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

The highest AI

Language versions of the article "Morphisme plat" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Flat morphism
38
2French (fr)
Morphisme plat
8
3Japanese (ja)
平坦射
3
4German (de)
Flacher Morphismus
2
More...

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

The highest AI in July 2024

Language versions of the article "Morphisme plat" with the highest AI in July 2024
#LanguageAI awardRelative AI
1German (de)
Flacher Morphismus
0
2English (en)
Flat morphism
0
3French (fr)
Morphisme plat
0
4Japanese (ja)
平坦射
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 "Morphisme plat" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Flat morphism
61
2Japanese (ja)
平坦射
7
3French (fr)
Morphisme plat
5
4German (de)
Flacher Morphismus
2
More...

Scores

Estimated value for Wikipedia:
French:
Global:
Popularity in July 2024:
French:
Global:
Popularity in all years:
French:
Global:
Authors in July 2024:
French:
Global:
Registered authors in all years:
French:
Global:
Citations:
French:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Flacher Morphismus
enEnglish
Flat morphism
frFrench
Morphisme plat
jaJapanese
平坦射

Popularity rank trends

Best Rank French:
#321366
10.2016
Global:
#1016532
02.2014

AI rank trends

Best Rank French:
#24841
10.2016
Global:
#129521
04.2004

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Flat morphism from Wikipedia articles about étale morphism, Flat module, Faithfully flat, Smooth morphism and Fpqc morphism. Whereas reading the article about Flat morphism people most often go to Wikipedia articles on Flat module, Generic property, Fpqc morphism, Stalk and Cohen–Macaulay 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 6 September 2024

On 6 September 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Linkin Park, Chester Bennington, Rob Bourdon, Emily Armstrong, Cristiano Ronaldo, UEFA Nations League, Beetlejuice, Jessica Pegula, Mike Shinoda, Rebecca Cheptegei.

In French Wikipedia the most popular articles on that day were: Michel Barnier, Affaire des viols de Mazan, Maurizio Gucci, Patrizia Reggiani, Gucci, Michael Olise, House of Gucci, Linkin Park, Nicola Sirkis, Abbé Pierre.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information