CLASSIFICATION OF SOME SPECIAL GENERALIZED DERIVATIONS

被引:0
作者
Idrissi, M. A. [1 ]
Oukhtite, L. [2 ]
机构
[1] Sultan Moulay Slimane Univ, Polydisciplinary Fac, Dept Math & Informat, Box 592, Beni Mellal, Morocco
[2] Univ SM Ben Abdellah, Fac Sci & Technol, Dept Math, Box 2202, Fes, Morocco
来源
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2021年 / 29卷
关键词
Prime ring; involution; commutativity; derivation; generalized derivation; LIE IDEALS; RINGS;
D O I
10.24330/ieja.852003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of the present paper is to classify generalized derivations satisfying more specific algebraic identities in a prime ring with involution of the second kind. Some well-known results characterizing commutativity of prime rings by derivations have been generalized by using generalized derivation.
引用
收藏
页码:50 / 62
页数:13
相关论文
共 14 条
[1]   On derivations and commutativity of prime rings with involution [J].
Ali, Shakir ;
Dar, Nadeem Ahmed ;
Asci, Mustafa .
GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (01) :9-14
[2]   On *-centralizing mappings in rings with involution [J].
Ali, Shakir ;
Dar, Nadeem Ahmed .
GEORGIAN MATHEMATICAL JOURNAL, 2014, 21 (01) :25-28
[3]   On Semiprime Rings with Generalized Derivations [J].
Ashraf, Mohammad ;
Nadeem-ur-Rehman ;
Ali, Shakir ;
Mozumder, Muzibur Rahman .
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2010, 28 (02) :25-32
[4]   ON GENERALIZED BIDERIVATIONS AND RELATED MAPS [J].
BRESAR, M .
JOURNAL OF ALGEBRA, 1995, 172 (03) :764-786
[5]   SEMIDERIVATIONS OF PRIME-RINGS [J].
BRESAR, M .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 108 (04) :859-860
[6]   Lie Ideals and Generalized Derivations in Semiprime Rings [J].
De Filippis, Vincenzo ;
Rehman, Nadeem Ur ;
Ansari, Abu Zaid .
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2015, 10 (02) :45-54
[7]   DERIVATIONS IN PRIME-RINGS [J].
FELZENSZWALB, B .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 84 (01) :16-20
[8]   Generalized derivations in rings [J].
Hvala, B .
COMMUNICATIONS IN ALGEBRA, 1998, 26 (04) :1147-1166
[9]   Some commutativity theorems for rings with involution involving generalized derivations [J].
Idrissi, My Abdallah ;
Oukhtite, Lahcen .
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (01)
[10]   On Semiprime Rings with Generalized Derivations [J].
Khan, Mohd Rais ;
Hasnain, Mohammad Mueenul .
KYUNGPOOK MATHEMATICAL JOURNAL, 2013, 53 (04) :565-571