On generalized derivations and commutativity of prime rings with involution

被引：2
作者：
Huang, Shuliang [1 ]
机构：
[1] Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Commutativity; generalized derivations; involution; prime rings; DIFFERENTIAL IDENTITIES; SEMIPRIME RINGS; CRITERIA; IDEALS;
D O I：
10.1080/00927872.2023.2186131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we prove some commutativity theorems for a prime ring with involution in which generalized derivations satisfy certain differential identities. Some well known results on commutativity of prime rings have been obtained. Also, we provide an example to show that the assumed restriction imposed on the involution is not superfluous.
引用
收藏
页码：3521 / 3527
页数：7
相关论文
共 50 条
[31]   A NOTE ON (σ,τ)-DERIVATIONS OF RINGS WITH INVOLUTION [J].
Koc, Emine ;
Golbasi, Oznur .
MISKOLC MATHEMATICAL NOTES, 2014, 15 (02) :559-569
[32]   HERSTEIN'S THEOREM FOR PAIR OF GENERALIZED DERIVATIONS ON PRIME RINGS WITH INVOLUTION [J].
Khan, Mohammad Salahuddin .
MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) :227-234
[33]   On Semi-prime Rings with Generalized Derivations [J].
Ibtesam Alshammari ;
Rania Kammoun .
Bulletin of the Iranian Mathematical Society, 2021, 47 :595-597
[34]   Identities with Product of Generalized Derivations of Prime Rings [J].
Carini, Luisa ;
De Filipps, Vincenzo ;
Scudo, Giovanni .
ALGEBRA COLLOQUIUM, 2013, 20 (04) :711-720
[35]   CENTRALIZING GENERALIZED DERIVATIONS ON POLYNOMIALS IN PRIME RINGS [J].
De Filippis, Vincenzo .
TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (05) :1847-1863
[36]   Identities related to generalized derivations in prime *- rings [J].
Boua, Abdelkarim ;
Ashraf, Mohammed .
GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (02) :193-205
[37]   On Semi-prime Rings with Generalized Derivations [J].
Alshammari, Ibtesam ;
Kammoun, Rania .
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (02) :595-597
[38]   On derivations and commutativity in prime near-rings [J].
Ashraf, Mohammed ;
Boua, Abdelkarim ;
Raji, Abderrahmane .
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2014, 8 (03) :301-306
[39]   Power cocentralizing generalized derivations on prime rings [J].
Vincenzo De Filippis .
Proceedings - Mathematical Sciences, 2010, 120 :285-297
[40]   Power cocentralizing generalized derivations on prime rings [J].
De Filippis, Vincenzo .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2010, 120 (03) :285-297
12345