Semiprime Novikov Algebras
Rings and Algebras
2022-11-30 v1
Abstract
We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative (semi)prime algebra is (semi)prime algebra. We proved this statement for Novikov algebras. It implies that a Baer radical exists in a class of Novikov algebras. Also, we proved that a minimal ideal of Novikov algebra is either trivial, or a simple algebra.
Keywords
Cite
@article{arxiv.2206.04286,
title = {Semiprime Novikov Algebras},
author = {A. S. Panasenko},
journal= {arXiv preprint arXiv:2206.04286},
year = {2022}
}
Comments
11 pages