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
  • [1] Non-associative central extensions of null-filiform associative algebras
    Kaygorodov, Ivan
    Lopes, Samuel A.
    Paez-Guillan, Pilar
    JOURNAL OF ALGEBRA, 2020, 560 : 1190 - 1210
  • [2] Central extensions of filiform Zinbiel algebras
    Camacho, Luisa M.
    Karimjanov, Iqboljon
    Kaygorodov, Ivan
    Khudoyberdiyev, Abror
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (08): : 1479 - 1495
  • [3] Central extensions of 2-filiform Leibniz algebras
    Adashev, Jobir
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (05) : 1886 - 1899
  • [4] MAXIMAL SOLVABLE EXTENSIONS OF FILIFORM ALGEBRAS
    Snobl, Libor
    ARCHIVUM MATHEMATICUM, 2011, 47 (05): : 405 - 414
  • [5] Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
    Adashev, J. K.
    Camacho, L. M.
    Omirov, B. A.
    JOURNAL OF ALGEBRA, 2017, 479 : 461 - 486
  • [6] Extensions of associative algebras
    Fialowski, Alice
    Penkava, Michael
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2014, 16 (03)
  • [7] CENTRAL EXTENSIONS OF ASSOCIATIVE ALGEBRAS AND WEAKLY ACTION REPRESENTABLE CATEGORIES
    Janelidze, George
    THEORY AND APPLICATIONS OF CATEGORIES, 2022, 38 : 1395 - 1408
  • [8] Associative 2-algebras and nonabelian extensions of associative algebras
    Yunhe Sheng
    You Wang
    Journal of Homotopy and Related Structures, 2024, 19 : 63 - 77
  • [9] Associative 2-algebras and nonabelian extensions of associative algebras
    Sheng, Yunhe
    Wang, You
    JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 2024, 19 (01) : 63 - 77
  • [10] COHERENT PAIRS OF EXTENSIONS OF ASSOCIATIVE ALGEBRAS
    RAMABHAD.N
    NAGOYA MATHEMATICAL JOURNAL, 1966, 26 (FEB) : 1 - &