| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2022 |
| Язык | английский |
|
Якушев Ринат Султанович, автор
|
|
Фауаз Хаттаб , автор
|
| Библиографическое описание на языке оригинала |
Kh. Fawwas, R. Yakushev, Tripotents in Algebras: Ideals and Commutators //
Lobachevskiin J. Math. 2022. V. 43, no. 7, 1626-1632. |
| Аннотация |
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. |
| Ключевые слова |
algebra, idempotent, tripotent, Hilbert space, linear operator, compact
operator |
| Название журнала |
Lobachevskii Journal of Mathematics
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=275226 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Якушев Ринат Султанович |
ru_RU |
| dc.contributor.author |
Фауаз Хаттаб |
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/?p_id=275226 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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