Central extensions of filiform associative algebras

被引:16
|
作者
Karimjanov, Iqboljon [1 ]
Kaygorodov, Ivan [2 ]
Ladra, Manuel [1 ]
机构
[1] Univ Santiago de Compostela, Inst Matemat, Dept Matemat, Santiago De Compostela, Spain
[2] Univ Fed ABC, CMCC, Santo Andre, SP, Brazil
来源
LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 06期
基金
俄罗斯基础研究基金会; 巴西圣保罗研究基金会;
关键词
Associative algebras; nilpotent; null-filiform; naturally graded; filiform; quasi-filiform; 2-cocycles central extension;
D O I
10.1080/03081087.2019.1620674
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we describe central extensions (up to isomorphism) of all complex null-filiform and filiform associative algebras.
引用
收藏
页码:1083 / 1101
页数:19
相关论文
共 50 条
  • [11] Local and 2-local derivations on filiform associative algebras
    Abdurasulov, Kobiljon
    Ayupov, Shavkat
    Yusupov, Bakhtiyor
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [12] On Central Extensions of Associative Dialgebras
    Rakhimov, Isamiddin S.
    ALGEBRA, ANALYSIS AND QUANTUM PROBABILITY, 2016, 697
  • [13] Extensions of solvable Lie algebras with naturally graded filiform nilradical
    Khudoyberdiyev, A. Kh.
    Sheraliyeva, S. A.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (10)
  • [14] Cleft extensions and Galois extensions for Hom-associative algebras
    Alonso Alvarez, J. N.
    Fernandez Vilaboa, J. M.
    Gonzalez Rodriguez, R.
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2016, 27 (03)
  • [15] Rota-type operators on null-filiform associative algebras
    Karimjanov, Iqboljon
    Kaygorodov, Ivan
    Ladra, Manuel
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (01): : 205 - 219
  • [16] Restricted one-dimensional central extensions of the restricted filiform Lie algebras m0λ(p)
    Evans, Tyler J.
    Fialowski, Alice
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 565 : 244 - 257
  • [17] Solvable extensions of the naturally graded quasi-filiform Leibniz algebras
    Abdurasulov, K. K.
    Adashev, J. Q.
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (02) : 510 - 527
  • [18] Central extensions of axial algebras
    Kaygorodov, Ivan
    Gonzalez, Candido Martin
    Paez-Guillan, Pilar
    JOURNAL OF ALGEBRA, 2025, 662 : 797 - 831
  • [19] On -central extensions of Leibniz algebras
    Casas, J. M.
    Khmaladze, E.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017, 111 (01) : 39 - 56
  • [20] On central extensions of preprojective algebras
    Etingof, Pavel
    Latour, Frederic
    Rains, Eric
    JOURNAL OF ALGEBRA, 2007, 313 (01) : 165 - 175