On Schur's theorem and its converses for n-Lie algebras

被引：10
|
作者：
Saeedi, F. [1 ]
Veisi, B. [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Mashhad, Iran
来源：
LINEAR & MULTILINEAR ALGEBRA | 2014年 / 62卷 / 09期
关键词：
n-Lie algebra; Lie algebra; derivation; Schur theorem; Baer theorem; isoclinism;
D O I：
10.1080/03081087.2013.809871
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An n-Lie algebra analogue of Schur's theorem and its converse as well as a Lie algebra analogue of Baer's theorem and its converse are presented. Also, it is shown that, an n-Lie algebra with finite dimensional derived subalgebra and finitely generated central factor is isoclinic to some finite dimensional n-Lie algebra.
引用
收藏
页码：1139 / 1145
页数：7
相关论文
共 50 条
  • [1] On the Schur Multiplier of n-Lie Algebras
    Darabi, Hamid
    Saeedi, Farshid
    JOURNAL OF LIE THEORY, 2017, 27 (01) : 271 - 281
  • [2] On the dimension of the Schur multiplier of n-Lie algebras
    Akbarossadat, Seyedeh Nafiseh
    Saeedi, Farshid
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (07): : 1465 - 1499
  • [3] Capable n-Lie algebras and the classification of nilpotent n-Lie algebras with s(A)=3
    Darabi, Hamid
    Saeedi, Farshid
    Eshrati, Mehdi
    JOURNAL OF GEOMETRY AND PHYSICS, 2016, 110 : 25 - 29
  • [4] New bounds on the dimension of the Schur multiplier of n-Lie algebras
    Gholami, Nahid
    Saeedi, Farshid
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (01) : 1 - 19
  • [5] Frattini Subalgebras and Nonimbedding Theorem of n-Lie Algebras
    白瑞蒲
    周和月
    刘学文
    Northeastern Mathematical Journal, 2006, (04) : 425 - 432
  • [6] Stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras
    Kim, Seong Sik
    Rassias, John Michael
    Cho, Yeol Je
    Kim, Soo Hawn
    JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (05)
  • [7] Approximate n-Lie Homomorphisms and Jordan n-Lie Homomorphisms on n-Lie Algebras
    Gordji, M. Eshaghi
    Kim, G. H.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [8] The Schur multiplier of an n-Lie superalgebra
    Safa, Hesam
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (07) : 2983 - 2996
  • [9] Characterization of capable nilpotent n-Lie algebras of class two by their Schur multipliers
    Zahra Hoseini
    Farshid Saeedi
    Hamid Darabi
    Rendiconti del Circolo Matematico di Palermo Series 2, 2019, 68 : 541 - 551
  • [10] On Deformations of n-Lie Algebras
    Makhlouf, Abdenacer
    NON-ASSOCIATIVE AND NON-COMMUTATIVE ALGEBRA AND OPERATOR THEORY, NANCAOT, 2016, 160 : 55 - 81
12345