Exceptional prime alternative algebras

被引：10

作者：

Pchelintsev, S. V. ^{[1
]}

机构：

[1] Finance Acad Govt Russian Fed, Moscow, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2007年 / 48卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

prime algebra; alternative algebra;

D O I：

10.1007/s11202-007-0108-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every exceptional prime alternative algebra satisfies the Engel identity [[x, y], y] = 0 of index 2.

引用

页码：1060 / 1073

页数：14

共 50 条

[41] The torsion product property in alternative algebras II
Milies, CP
COMMUNICATIONS IN ALGEBRA, 1999, 27 (06) : 2905 - 2911
[42] Product Theorems for Alternative Algebras and Some of Their Applications
S. V. Pchelintsev
Siberian Mathematical Journal, 2023, 64 : 374 - 392
[43] The classical Yang-Baxter equation on alternative algebras: The alternative D-bialgebra structure on Cayley-Dickson matrix algebras
Goncharov, M. E.
SIBERIAN MATHEMATICAL JOURNAL, 2007, 48 (05) : 809 - 823
[44] The classical Yang-Baxter equation on alternative algebras: The alternative D-bialgebra structure on Cayley-Dickson matrix algebras
M. E. Goncharov
Siberian Mathematical Journal, 2007, 48 : 809 - 823
[45] Nil Ideals of Finite Codimension in Alternative Noetherian Algebras
Zhelyabin, V. N.
Panasenko, A. S.
MATHEMATICAL NOTES, 2017, 101 (3-4) : 460 - 466
[46] On the Structure of Alternative Bimodules over Semisimple Artinian Algebras
Borisova, L. R.
Pchelintsev, S. V.
RUSSIAN MATHEMATICS, 2020, 64 (08) : 1 - 7
[47] Generalized Lie-Type Derivations of Alternative Algebras
G. C. Ferreira
Russian Mathematics, 2021, 65 : 33 - 40
[48] On the Structure of Alternative Bimodules over Semisimple Artinian Algebras
L. R. Borisova
S. V. Pchelintsev
Russian Mathematics, 2020, 64 : 1 - 7
[49] Nil ideals of finite codimension in alternative Noetherian algebras
V. N. Zhelyabin
A. S. Panasenko
Mathematical Notes, 2017, 101 : 460 - 466
[50] Generalized Lie-Type Derivations of Alternative Algebras
Ferreira, B. L. M.
de Moraes, G. C.
RUSSIAN MATHEMATICS, 2021, 65 (09) : 33 - 40

← 1 2 3 4 5 →