Geodesic
Nil Ideals of Finite Codimension in Alternative Noetherian Algebras
Matematičeskie zametki, Tome 101 (2017) no. 3, pp. 395-402

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2017_101_3_a5,
     author = {V. N. Zhelyabin and A. S. Panasenko},
     title = {Nil {Ideals} of {Finite} {Codimension} in {Alternative} {Noetherian} {Algebras}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {395--402},
     publisher = {mathdoc},
     volume = {101},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_3_a5/}
}
TY  - JOUR
AU  - V. N. Zhelyabin
AU  - A. S. Panasenko
TI  - Nil Ideals of Finite Codimension in Alternative Noetherian Algebras
JO  - Matematičeskie zametki
PY  - 2017
SP  - 395
EP  - 402
VL  - 101
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2017_101_3_a5/
LA  - ru
ID  - MZM_2017_101_3_a5
ER  - 
%0 Journal Article
%A V. N. Zhelyabin
%A A. S. Panasenko
%T Nil Ideals of Finite Codimension in Alternative Noetherian Algebras
%J Matematičeskie zametki
%D 2017
%P 395-402
%V 101
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2017_101_3_a5/
%G ru
%F MZM_2017_101_3_a5
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/