Bounds for the number of idempotents in finite rings

Dolžan, David (author)

We find bounds for the number of idempotents in a ring of matrices over an arbitrary finite commutative ring. Using these results, we find a bound on the number of idempotents in an arbitrary finite ring, whereby we improve upon the currently known bounds for the number of idempotents.

• Language: English
• Keywords: finite ring, idempotent, matrix
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2021
• Number of pages: Str. 4800-4807
• Numbering: Vol. 49, no. 11
• PID: 20.500.12556/RUL-141241
• UDC: 512.552
• ISSN on article: 0092-7872
• DOI: 10.1080/00927872.2021.1929277
• COBISS.SI-ID: 65073923
• Publication date in RUL: 26.09.2022

Record is a part of a journal

• Title: Communications in algebra
• Shortened title: Commun. algebra
• Publisher: Taylor & Francis
• ISSN: 0092-7872
• COBISS.SI-ID: 25249792

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: končni kolobar, idempotent, matrika

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0222
• Name: Algebra v teoriji operatorjev in finančna matematika