Scholarlink

<p>We study left ideals of Novikov algebras.It is shown that the center and the associative center of an ideal of a semiprime Novikov algebra are inherited from the whole algebra.We prove that in a prime nonassociative Novikov algebra, every left ideal that does not lie in the right annihilator of&#xa0;the algebra is itself a prime nonassociative Novikov algebra.We also obtain a description of left ideals of a semiprime Novikov algebra.It is shown that a minimal left ideal of a Novikov algebra lies either in the center or in the associator ideal of the algebra.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Left Ideals of Semiprime Novikov Algebras

  • 期刊论文

  • 发表日期：

    2026年1月29日

查看全文
  • N. V. Kotenkov,
  • A. S. Panasenko

摘要

We study left ideals of Novikov algebras.It is shown that the center and the associative center of an ideal of a semiprime Novikov algebra are inherited from the whole algebra.We prove that in a prime nonassociative Novikov algebra, every left ideal that does not lie in the right annihilator of the algebra is itself a prime nonassociative Novikov algebra.We also obtain a description of left ideals of a semiprime Novikov algebra.It is shown that a minimal left ideal of a Novikov algebra lies either in the center or in the associator ideal of the algebra.