Some properties of rings and near-rings with derivations and generalized derivations

被引：1
作者：
Al-Shaalan, Khalid [1 ]
机构：
[1] King Saud Univ, Math Dept, Coll Sci, Riyadh, Saudi Arabia
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 03期
关键词：
Near-rings; rings; derivation; generalized derivation; primeness; commutativity; COMMUTATIVITY;
D O I：
10.1515/gmj-2019-2082
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the first part of the paper, we study the existence of derivations on a class of 3-prime near-rings. In the second part, we get some commutativity results for prime rings with generalized derivations.
引用
收藏
页码：335 / 339
页数：5
相关论文
共 11 条
[1]   SEMIGROUP IDEALS AND COMMUTATIVITY IN 3-PRIME NEAR RINGS [J].
Bell, H. E. ;
Boua, A. ;
Oukhtite, L. .
COMMUNICATIONS IN ALGEBRA, 2015, 43 (05) :1757-1770
[2]  
Bell H. E., 2013, Asian Eur.J.Math, V6, P1350050, DOI [10.1142/s1793557113500502, DOI 10.1142/S1793557113500502]
[3]  
Bell H. E., 1987, On derivations in near-rings, Near-rings and Near-?elds, V137, P31
[4]  
Bell HW, 1997, MATH APPL, V426, P191
[5]  
Kamal A. A. M., 2014, UKRAINIAN MATH J, P420
[6]   Commutativity of Near-rings with Derivations [J].
Kamal, Ahmed A. M. ;
Al-Shaalan, Khalid H. .
ALGEBRA COLLOQUIUM, 2014, 21 (02) :215-230
[7]   Commutativity of rings and near-rings with generalized derivations [J].
Kamal, Ahmed A. M. ;
Al-Shaalan, Khalid H. .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2013, 44 (04) :473-496
[8]   Existence of derivations on near-rings [J].
Kamal, Ahmed A. M. ;
Al-Shaalan, Khalid H. .
MATHEMATICA SLOVACA, 2013, 63 (03) :431-448
[9]  
Meldrum J.D.P., 1985, RES NOTES MATH, V134
[10]  
Pilz G., 1983, Near-rings: The Theory and Its Applications, V23
12