论文标题
半弹药诺维科夫代数
Semiprime Novikov Algebras
论文作者
论文摘要
我们研究主要和半弹药诺维科夫代数。我们证明，主要的非社交诺维科夫代数的核和中心为零。众所周知，替代（半）素代数的理想是（半）素数代数。我们为诺维科夫代数证明了这一说法。这意味着在诺维科夫代数类中存在Baer激进分子。另外，我们证明了Novikov代数的最低理想要么是微不足道的，要么是简单的代数。
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.
