KFU. Card publication. When is every matrix over a ring the sum of two tripotents?

KAZAN
FEDERAL UNIVERSITY

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WHEN IS EVERY MATRIX OVER A RING THE SUM OF TWO TRIPOTENTS?

Form of presentation

Articles in international journals and collections

Year of publication

2021

Язык

английский

Authors, employees of KFU

Abyzov Adel Nailevich, author

Tapkin Danil Tagirzyanovich, author

Bibliographic description in the original language

Abyzov A.N, Tapkin D.T., When is every matrix over a ring the sum of two tripotents?//Linear Algebra and Its Applications. - 2021. - Vol.630, Is. 1. - P.316-325.

Annotation

We study rings over which every matrix is the sum of two tripotents. In particular, we show that every square matrix over a field F is the sum of two tripotents if and only if F is a prime field with Char(F ) ≤ 5

Keywords

Frobenius normal form, Idempotent, Matrix ring, Sum of two tripotents

The name of the journal

Linear Algebra and Its Applications

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114929133&doi=10.1016%2fj.laa.2021.09.007&partnerID=40&md5=f62233818552129ca7b2677c1a5678d8

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=257094&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Abyzov Adel Nailevich	ru_RU
dc.contributor.author	Tapkin Danil Tagirzyanovich	ru_RU
dc.date.accessioned	2021-01-01T00:00:00Z	ru_RU
dc.date.available	2021-01-01T00:00:00Z	ru_RU
dc.date.issued	2021	ru_RU
dc.identifier.citation	Abyzov A.N, Tapkin D.T., When is every matrix over a ring the sum of two tripotents?//Linear Algebra and Its Applications. - 2021. - Vol.630, Is. 1. - P.316-325.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=257094&p_lang=2	ru_RU
dc.description.abstract	Linear Algebra and Its Applications	ru_RU
dc.description.abstract	We study rings over which every matrix is the sum of two tripotents. In particular, we show that every square matrix over a field F is the sum of two tripotents if and only if F is a prime field with Char(F ) ≤ 5	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Frobenius normal form	ru_RU
dc.subject	Idempotent	ru_RU
dc.subject	Matrix ring	ru_RU
dc.subject	Sum of two tripotents	ru_RU
dc.title	When is every matrix over a ring the sum of two tripotents?	ru_RU
dc.type	Articles in international journals and collections	ru_RU