Left Ideals of Semiprime Novikov Algebras
Abstract
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.
Fields of Study & Subjects
Advanced Topics in Algebra
Rings
Modules
and Algebras
Mathematics and Applications
Publication details
- Journal / source
- Siberian Mathematical Journal
- Volume
- 67
- Issue
- 1
- Pages
- 93–98
- Publication date
- 1 January 2026
- Language
- EN