Geodesic
Nil Ideals of Finite Codimension in Alternative Noetherian Algebras
Matematičeskie zametki, Tome 101 (2017) no. 3, pp. 395-402 Cet article a éte moissonné depuis la source Math-Net.Ru

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Alternative (right) Noetherian algebras are considered. It is proved that, in these algebras, the nil ideals of finite codimension are nilpotent, which generalizes the corresponding Zhevlakov's result. As a corollary, we describe just infinite alternative nonassociative algebras (for the field characteristic distinct from 2).
Keywords: Noetheriaty, nil ideal, alternative algebra, just infinite algebra, exceptional algebra, codimension. 
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V. N. Zhelyabin; A. S. Panasenko. Nil Ideals of Finite Codimension in Alternative Noetherian Algebras. Matematičeskie zametki, Tome 101 (2017) no. 3, pp. 395-402. http://geodesic.mathdoc.fr/item/MZM_2017_101_3_a5/

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