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

页数：18

共 48 条

[31] GENERALIZED DERIVATIONS ON LIE IDEALS AND POWER VALUES ON PRIME RINGS
Scudo, Giovanni
Ansari, Abu Zaid
[J]. MATHEMATICA SLOVACA, 2015, 65 (05) : 975 - 980
[32] Generalized derivations with annihilating and centralizing Engel conditions on Lie ideals
Giovanni Scudo
[J]. Rendiconti del Circolo Matematico di Palermo, 2012, 61 (3) : 343 - 353
[33] Annihilating Conditions and Central Values of Generalized Derivations on Lie Ideals
De Filippis, Vincenzo
Dhara, Basudeb
[J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2014, 38 (04) : 493 - 500
[34] Deformations and generalized derivations of Hom-Lie conformal algebras
Jun Zhao
Lamei Yuan
Liangyun Chen
[J]. Science China Mathematics, 2018, 61 : 797 - 812
[35] Generalized derivations as Jordan homomorphisms on lie ideals and right ideals
De Filippis, Vincenzo
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (12) : 1965 - 1974
[36] Generalized Derivations as Jordan Homomorphisms on Lie Ideals and Right Ideals
Vincenzo DE FILIPPIS
[J]. ActaMathematicaSinica(EnglishSeries), 2009, 25 (12) : 1965 - 1974
[37] Generalized Derivations Acting as Lie Homomorphisms on Polynomials in Prime Rings
Scudo, G.
[J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2014, 38 (04) : 563 - 572
[38] Generalized derivations as Jordan homomorphisms on lie ideals and right ideals
Vincenzo de Filippis
[J]. Acta Mathematica Sinica, English Series, 2009, 25 : 1965 - 1974
[39] Deformations and generalized derivations of Hom-Lie conformal algebras
Jun Zhao
Lamei Yuan
Liangyun Chen
[J]. Science China(Mathematics), 2018, 61 (05) : 797 - 812
[40] Annihilators on co-commutators with generalized derivations on Lie ideals
Carini, Luisa
De Filippis, Vincenzo
Dhara, Basudeb
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 76 (3-4): : 395 - 409

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