KFU. Card publication. Tripotents in Algebras: Ideals and Commutators

KAZAN
FEDERAL UNIVERSITY

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TRIPOTENTS IN ALGEBRAS: IDEALS AND COMMUTATORS

Form of presentation

Articles in international journals and collections

Year of publication

2022

Язык

английский

Authors, employees of KFU

Yakushev Rinat Sultanovich, author

Authors, postgraduates KFU

Fauaz Khattab , postgraduate kfu

Bibliographic description in the original language

Kh. Fawwas, R. Yakushev, Tripotents in Algebras: Ideals and Commutators // Lobachevskiin J. Math. 2022. V. 43, no. 7, 1626-1632.

Annotation

We establish some new properties of n-potent elements in unital algebras. Particular attention is paid to ideals in these algebras. As a consequence, we obtain the compactness conditions for the product AB of a Hilbert space tripotents A and B. In year 2011 we studied the following question: under what conditions do tripotents A and B commute? Here we try to find out when do tripotents A and B anticommute. We also determine under what conditions A + B is an idempotent. We establish similarity of certain idempotents in unital algebras.

Keywords

algebra, idempotent, tripotent, Hilbert space, linear operator, compact operator

The name of the journal

Lobachevskii Journal of Mathematics

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

https://repository.kpfu.ru/eng/?p_id=275226&p_lang=2

Resource files

File name	Size (MB)	Format
F_S1995080222100109.pdf	0,50	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Yakushev Rinat Sultanovich	ru_RU
dc.contributor.author	Fauaz Khattab	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Kh. Fawwas, R. Yakushev, Tripotents in Algebras: Ideals and Commutators // Lobachevskiin J. Math. 2022. V. 43, no. 7, 1626-1632.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=275226&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	We establish some new properties of n-potent elements in unital algebras. Particular attention is paid to ideals in these algebras. As a consequence, we obtain the compactness conditions for the product AB of a Hilbert space tripotents A and B. In year 2011 we studied the following question: under what conditions do tripotents A and B commute? Here we try to find out when do tripotents A and B anticommute. We also determine under what conditions A + B is an idempotent. We establish similarity of certain idempotents in unital algebras.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	algebra	ru_RU
dc.subject	idempotent	ru_RU
dc.subject	tripotent	ru_RU
dc.subject	Hilbert space	ru_RU
dc.subject	linear operator	ru_RU
dc.subject	compact operator	ru_RU
dc.title	Tripotents in Algebras: Ideals and Commutators	ru_RU
dc.type	Articles in international journals and collections	ru_RU