Generalized derivations, quasiderivations and centroids of Bihom-Lie triple system

被引：0
作者：
Ben Hassine, Abdelkader [1 ,2 ]
机构：
[1] Univ Bisha, Fac Sci & Arts Belqarn, Dept Math, POB 60, Sabt Al Alaya 61985, Saudi Arabia
[2] Univ Sfax, Fac Sci, BP 1171, Sfax 3000, Tunisia
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 06期
关键词：
Bihom-Lie triple systems; generalized derivations; quasi derivations; centroids;
D O I：
10.1142/S179355712250111X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give some properties of the generalized derivation algebra GDer(T) of a Bihom-Lie triple system T. In particular, we prove that GDer(T) = QDer(T) + QC(T), the sum of the quasiderivation algebra and the quasicentroid. We also prove that QDer(T) can be embedded as derivations in a larger Bihom-Lie triple system.
引用
收藏
页数：18
相关论文
共 49 条
  • [21] Lie Ideals and Generalized Derivations in Semiprime Rings
    De Filippis, Vincenzo
    Rehman, Nadeem Ur
    Ansari, Abu Zaid
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2015, 10 (02): : 45 - 54
  • [22] Generalized derivations and left multipliers on Lie ideals
    Dhara, Basudeb
    De Filippis, Vincenzo
    Sharma, Rajendra K.
    AEQUATIONES MATHEMATICAE, 2011, 81 (03) : 251 - 261
  • [23] Generalized derivations and left multipliers on Lie ideals
    Basudeb Dhara
    Vincenzo De Filippis
    Rajendra K. Sharma
    Aequationes mathematicae, 2011, 81 : 251 - 261
  • [24] Generalized derivations and some structure theorems for Lie algebras
    Dorado-Aguilar, E.
    Garcia-Delgado, R.
    Martinez-Sigala, E.
    Rodriguez-Vallarte, M. C.
    Salgado, G.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (02)
  • [25] Generalized near-derivations and their applications in Lie algebras
    Du, Yi-Qiu
    Wang, Yu
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 83 (03): : 291 - 301
  • [26] Pair of Generalized Derivations and Lie Ideals in Prime Rings
    Dhara, Basudeb
    Ali, Asma
    Khan, Shahoor
    ALGEBRA AND ITS APPLICATIONS, ICAA 2014, 2016, 174 : 351 - 362
  • [27] Identities with generalized derivations on Lie ideals and Banach algebras
    Hermas, Abderrahman
    Oukhtite, Lahcen
    GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (04) : 627 - 636
  • [28] On Lie ideals and Jordan generalized derivations of prime rings
    Ashraf, M
    Nadeem-Ur-Rehman
    Ali, S
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (02) : 291 - 294
  • [29] Lie ideals and centralizing generalized derivations of rings with involution
    Oukhtite L.
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2011, 52 (2): : 349 - 355
  • [30] Pair of generalized derivations on Lie ideals in prime rings
    Pandey, Ashutosh
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (01)
12345