Generalized derivations centralizing on Jordan ideals of rings with involution

被引：32
|
作者：
Oukhtite, Lahcen [1 ]
Mamouni, Abdellah [1 ]
机构：
[1] Univ Moulay Ismail Boutalamine, Fac Sci & Technol, Dept Math, Algebra & Applicat Grp, Errachidia, Morocco
来源：
TURKISH JOURNAL OF MATHEMATICS | 2014年 / 38卷 / 02期
关键词：
Rings with involution; generalized derivations; Jordan ideals; PRIME-RINGS; LIE IDEALS; MAPPINGS;
D O I：
10.3906/mat-1203-14
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. In this paper we extend Posner's result to generalized derivations centralizing on Jordan ideals of rings with involution and discuss the related results. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.
引用
下载
收藏
页码：225 / 232
页数：8
相关论文
共 50 条
  • [31] A Classification of Generalized Derivations in Rings With Involution
    Bhushan, Bharat
    Sandhu, Gurninder S.
    Ali, Shakir
    Kumar, Deepak
    FILOMAT, 2021, 35 (05) : 1439 - 1452
  • [32] On generalized ()-derivations in semiprime rings with involution
    Ashraf, Mohammad
    Nadeem-ur-Rehman
    Ali, Shakir
    Mozumder, Muzibur Rahman
    MATHEMATICA SLOVACA, 2012, 62 (03) : 451 - 460
  • [33] Study of Generalized Derivations in Rings with Involution
    Mozumder, Muzibur Rahman
    Abbasi, Adnan
    Dar, Nadeem Ahmad
    KYUNGPOOK MATHEMATICAL JOURNAL, 2019, 59 (01): : 1 - 11
  • [34] On Generalized Derivations Involving Prime Ideals with Involution
    Nadeem ur Rehman
    Hafedh M. Alnoghashi
    Motoshi Hongan
    Ukrainian Mathematical Journal, 2024, 75 : 1219 - 1241
  • [35] On Generalized Derivations Involving Prime Ideals with Involution
    Rehman, Nadeem ur
    Alnoghashi, Hafedh M.
    Hongan, Motoshi
    UKRAINIAN MATHEMATICAL JOURNAL, 2024, 75 (08) : 1219 - 1241
  • [36] Differential identities on Jordan ideals of rings with involution
    Mamouni, Abdellah
    Oukhtite, Lahcen
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (01): : 49 - 55
  • [37] A note on derivations and Jordan ideals of prime rings
    Sandhu, Gurninder S.
    Kumar, Deepak
    AIMS MATHEMATICS, 2017, 2 (04): : 580 - 585
  • [38] On centralizing automorphisms and Jordan left derivations on σ-prime gamma rings
    Dey, Kalyan Kumar
    Paul, Akhil Chandra
    Davvaz, Bijan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (01): : 51 - 57
  • [39] Lie Ideals and Jordan Triple Derivations in Rings
    Hongan, Motoshi
    Rehman, Nadeem Ur
    Al-Omary, Radwan Mohammed
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2011, 125 : 147 - 156
  • [40] Centralizing identities involving generalized derivations in prime rings
    De Filippis, Vincenzo
    Gupta, Pallavee
    Tiwari, Shailesh Kumar
    Prajapati, Balchand
    GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (04) : 587 - 605
12345