ISOTOPES OF PRIME (-1,1)-AND JORDAN ALGEBRAS

被引:0
|
作者
Pchelintsev, S. V. [1 ]
机构
[1] Govt Russian Federat, Finance Acad, Moscow 125468, Russia
关键词
right alternative algebra; strictly (-1,1)-algebra; Jordan algebra; prime algebra; isotope; homotope; identity; Lie nilpotence; RIGHT ALTERNATIVE RINGS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We deal with adjoint commutator and Jordan algebras of isotopes of prime strictly (-1, 1)-algebras. It is proved that a system of identities of the form [x(1), x(2), x(2), x(3),...,x(n)] for n = 2,...,5 is discernible on isotopes of prime (-1, 1)-algebras. Also it is shown that adjoint Jordan algebras for suitable isotopes of prime (-1, 1)-algebras may possess distinct sets of identities. In particular, isotopes of a prime Jordan monster have different sets of identities in general.
引用
收藏
页码:262 / 288
页数:27
相关论文
共 50 条
  • [1] Isotopes of prime (-1, 1)-and Jordan algebras
    Pchelintsev S.V.
    Algebra and Logic, 2010, 49 (3) : 262 - 288
  • [2] CENTRAL ISOTOPES OF (-1,1)-ALGEBRAS
    Pchelintsev, S., V
    SIBERIAN MATHEMATICAL JOURNAL, 2021, 62 (04) : 678 - 690
  • [3] Prime (-1,1) and Jordan monsters and superalgebras of vector type
    Pchelintsev, Sergey V.
    Shestakov, Ivan P.
    JOURNAL OF ALGEBRA, 2015, 423 : 54 - 86
  • [4] NONLINEAR *-JORDAN TRIPLE DERIVATION ON PRIME *-ALGEBRAS
    Darvish, Vahid
    Nouri, Mojtaba
    Razeghi, Mehran
    Taghavi, Ali
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (02) : 543 - 549
  • [5] Commutator identities of the homotopes of (-1,1)-algebras
    Pchelintsev, S. V.
    SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (02) : 325 - 340
  • [6] On the commutator nilpotency step of strictly (-1,1)-algebras
    Pchelintsev, S. V.
    MATHEMATICAL NOTES, 2013, 93 (5-6) : 756 - 762
  • [7] Maximal algebras of Martindale-like quotients of strongly prime linear Jordan algebras
    Anquela, JA
    García, E
    Gómez-Lozano, M
    JOURNAL OF ALGEBRA, 2004, 280 (01) : 367 - 383
  • [8] Prime Algebras Connected With Monsters
    S. V. Pchelintsev
    Siberian Mathematical Journal, 2018, 59 : 341 - 356
  • [9] Prime Algebras Connected With Monsters
    Pchelintsev, S. V.
    SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (02) : 341 - 356
  • [10] ON JORDAN ALGEBRAS THAT ARE FACTORS OF MATSUO ALGEBRAS
    Gorshkov, Ilya
    Mamontov, Andrey
    Staroletov, Alexey
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2025, 37 : 70 - 90