Power-commuting skew derivations on Lie ideals

被引：9

作者：

De Filippis, Vincenzo ^{[1
]}

Huang, Shuliang ^{[2
]}

机构：

[1] Univ Messina, Dept Math & Comp Sci, I-98166 Messina, Italy

[2] Chuzhou Univ, Dept Math, Chuzhou 239000, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2015年 / 177卷 / 03期

关键词：

Skew derivation; Automorphism; Generalized polynomial identities; Lie ideal; PRIME-RINGS; DIFFERENTIAL IDENTITIES; ENGEL CONDITIONS; SEMIPRIME RINGS; CENTRALIZING AUTOMORPHISMS; CENTRAL VALUES; ANTIAUTOMORPHISMS; COMMUTATORS; MAPPINGS;

D O I：

10.1007/s00605-014-0672-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a prime ring of characteristic different from and , a non-central Lie ideal of , a nonzero skew derivation of , a fixed positive integer. If for all , then satisfies s(4).

引用

页码：363 / 372

页数：10

共 50 条

[41] m-potent commutators of skew derivations on Lie ideals
Raza, Mohd Arif
Ali, Shakir
Alhazmi, Husain
GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (06) : 937 - 944
[42] Identities related to a pair of generalized skew derivations on Lie ideals
De Filippis, Vincenzo
Nisar, Junaid
Rehman, Nadeem ur
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
[43] A result on generalized skew derivations on Lie ideals in prime rings
Ashraf M.
De Filippis V.
Khan A.
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2017, 58 (2): : 341 - 354
[44] An Engel condition with X-generalized skew derivations on Lie ideals
de Filippis, Vincenzo
Wei, Feng
COMMUNICATIONS IN ALGEBRA, 2018, 46 (12) : 5433 - 5446
[45] Product of commutators with b-generalized skew derivations on Lie ideals
Dhara, Basudeb
Kar, Sukhendu
Ghosh, Sourav
COMMUNICATIONS IN ALGEBRA, 2025,
[46] A result concerning nilpotent values with generalized skew derivations on Lie ideals
Sharma, R. K.
Dhara, B.
De Filippis, V.
Garg, C.
COMMUNICATIONS IN ALGEBRA, 2018, 46 (12) : 5330 - 5341
[47] ANNIHILATOR CONDITIONS WITH GENERALIZED SKEW DERIVATIONS AND LIE IDEALS OF PRIME RINGS
De Filippis, Vincenzo
Rehman, Nadeem Ur
Scudo, Giovanni
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2022, 32 : 192 - 216
[48] Nilpotent Values Induced by Generalized Skew Derivations Acting on Lie Ideals
Dhara, B.
Garg, C.
SIBERIAN MATHEMATICAL JOURNAL, 2025, 66 (01) : 118 - 128
[49] Generalized Derivations with Vanishing Power Values on Lie Ideals
Dhara, Basudeb
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2012, 36 (01) : 35 - 42
[50] On Posner's theorem with b-generalized skew derivations on Lie ideals
Carini, Luisa
Scudo, Giovanni
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (03)

← 1 2 3 4 5 →