On generalized derivations and commutativity of prime rings with involution

被引：1
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
  • [1] Differential Identities and Generalized Derivations in Prime Rings with Involution
    Boua, Abdelkarim
    Ashraf, Mohammad
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2019, 43 (02) : 165 - 181
  • [2] On derivations and commutativity of prime rings with involution
    Ali, Shakir
    Dar, Nadeem Ahmed
    Asci, Mustafa
    GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (01) : 9 - 14
  • [3] On "On derivations and commutativity of prime rings with involution"
    Almahdi, Fuad Ali Ahmed
    GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (03) : 331 - 333
  • [4] Characterizations of Commutativity of Prime Ring with Involution by Generalized Derivations
    Sui, Mingxing
    Chen, Quanyuan
    MATHEMATICS, 2024, 12 (14)
  • [5] Certain commutativity criteria for rings with involution involving generalized derivations
    Nejjar, Badr
    Kacha, Ali
    Mamouni, Abdellah
    Oukhtite, Lahcen
    GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (01) : 133 - 139
  • [6] On ideals and commutativity of prime rings with generalized derivations
    Abu Nawas, M. K.
    Al-Omary, Radwan M.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (01): : 79 - 89
  • [7] COMMUTATIVITY FOR RINGS WITH INVOLUTION INVOLVING GENERALIZED DERIVATIONS
    Boua, Abdelkarim
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2018, 40 (04): : 587 - 603
  • [8] The commutativity of prime Γ-rings with generalized skew derivations
    Huang, Shuliang
    Ali, Shakir
    GEORGIAN MATHEMATICAL JOURNAL, 2017, 24 (03) : 393 - 402
  • [9] Some commutativity theorems for rings with involution involving generalized derivations
    Idrissi, My Abdallah
    Oukhtite, Lahcen
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (01)
  • [10] ON GENERALIZED DERIVATIONS AND COMMUTATIVITY OF PRIME AND SEMIPRIME RINGS
    Ali, Asma
    Kumar, Deepak
    Miyan, Phool
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (03): : 367 - 374
12345