Nil ideals of finite codimension in alternative Noetherian algebras

V. N. Zhelyabin; A. S. Panasenko

doi:10.1134/S0001434617030075

Nil ideals of finite codimension in alternative Noetherian algebras

V. N. Zhelyabin, A. S. Panasenko

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

Alternative (right) Noetherian algebras are considered. It is proved that, in these algebras, the nil ideals of finite codimension are nilpotent, which generalizes the corresponding Zhevlakov’s result. As a corollary, we describe just infinite alternative nonassociative algebras (for the field characteristic distinct from 2).

Язык оригинала	английский
Страницы (с-по)	460-466
Число страниц	7
Журнал	Mathematical Notes
Том	101
Номер выпуска	3-4
DOI	https://doi.org/10.1134/S0001434617030075
Состояние	Опубликовано - 1 мар 2017

Доступ к документу

10.1134/S0001434617030075

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