On radicals of Novikov algebras

被引：0
|
作者：
Panasenko, Alexander Sergeevich [1 ,2 ]
机构：
[1] Sobolev Inst Math, 4 Acad Koptyug Ave, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk, Russia
来源：
COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 01期
关键词：
Novikov algebra; radical; prime algebra; semiprime algebra; finite dimensional algebra; quasiregular ideal;
D O I：
10.1080/00927872.2023.2235420
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that in a prime nonassociative Novikov algebra every nonzero ideal is non-associative. We prove that Baer (and Andrunakievich) radical and the largest left quasiregular ideal coincide in finite dimensional Novikov algebras over a field of characteristic 0 or algebraically closed field of odd characteristic. We show non-existence of right quasiregular radical in finite dimensional Novikov algebras.
引用
收藏
页码：140 / 147
页数：8
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