SIMPLE NOVIKOV-POISSON ALGEBRAS

被引：0
|
作者：
Zakharov, A. S. [1 ,2 ,3 ]
机构：
[1] Novosibirsk State Tech Univ, 20 K Marksa Pr, Novosibirsk 630073, Russia
[2] Sobolev Inst Math SB RAS, 4 Acad Koptyug Pr, Novosibirsk 630090, Russia
[3] Novosibirsk State Univ, 1 Pirogova Str, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2023年 / 20卷 / 02期
关键词：
Novikov (super)algebra; Novikov; Poisson (super)algebra; differential algebra; commutative algebra; simple algebra;
D O I：
10.33048/semi.2023.20.085
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We proved if A is a simple Novikov - Poisson (super)algebra then their Novikov part is a simple algebra when field characteristic is not 2. Also we obtained all finite dimension simple Novikov - Poisson algebras over a field of characteristic not 2.
引用
收藏
页码：1396 / 1404
页数：9
相关论文
共 50 条
  • [31] Novikov Poisson bialgebra
    Li, Bei
    Wang, Dingguo
    JOURNAL OF GEOMETRY AND PHYSICS, 2025, 209
  • [32] On the simple transposed Poisson algebras and Jordan superalgebras
    Ouaridi, Amir Fernandez
    JOURNAL OF ALGEBRA, 2024, 641 : 173 - 198
  • [33] Noncommutative Novikov algebras
    Sartayev, Bauyrzhan
    Kolesnikov, Pavel
    EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (02)
  • [34] On Homotopes of Novikov Algebras
    V. A. Sereda
    V. T. Filippov
    Siberian Mathematical Journal, 2002, 43 (1) : 1 - 7
  • [35] Noncommutative Novikov algebras
    Bauyrzhan Sartayev
    Pavel Kolesnikov
    European Journal of Mathematics, 2023, 9
  • [36] Classification of Novikov algebras
    Dietrich Burde
    Willem de Graaf
    Applicable Algebra in Engineering, Communication and Computing, 2013, 24 : 1 - 15
  • [37] On homotopes of Novikov algebras
    Sereda, VA
    Filippov, VT
    SIBERIAN MATHEMATICAL JOURNAL, 2002, 43 (01) : 140 - 146
  • [38] Derivations on Novikov Algebras
    Chengming Bai
    Daoji Meng
    Sui He
    International Journal of Theoretical Physics, 2003, 42 : 507 - 521
  • [39] On radicals of Novikov algebras
    Panasenko, Alexander Sergeevich
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (01) : 140 - 147
  • [40] THE FREIHEITSSATZ FOR NOVIKOV ALGEBRAS*
    Makar-Limanov, Leonid
    Umirbaev, Ualbai
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2011, 2 (02): : 228 - 235
12345