D- Semiprime Rings

被引：0

作者：

Alosaimi, Maram ^{[1
]}

Al Khalaf, Ahmad ^{[1
]}

Masri, Rohaidah ^{[2
]}

Taha, Iman ^{[1
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ, Fac Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[2] Sultan Idris Univ, Fac Sci & Math, Dept Math, Tanjong Malim, Perak, Malaysia

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 17卷 / 03期

关键词：

Derivation; semiprime ring; delta-semiprime ring; delta-ideal; PRIME LIE-RINGS; COMMUTATIVE RING; DERIVATIONS;

D O I：

10.29020/nybg.ejpam.v17i3.5210

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be an associative and 2-torsion-free ring with an identity. in this work, we will generaliz the results of differentially prime rings in [18] by applying the hypotheses in a differentially semiprime rings. In particular, we have proved that if R is a D- semiprime ring, then either R is a commutative ring or D is a semiprime ring.

引用

页码：2264 / 2275

页数：12

共 50 条

[41] ON SYMMETRIC BIDERIVATIONS OF SEMIPRIME RINGS
Ali, Asma
Shujat, Faiza
CONTEMPORARY RING THEORY 2011, 2012, : 196 - 208
[42] On generalized derivations in semiprime rings involving anticommutator
Mohammad Ashraf
Sajad Ahmad Pary
Mohd Arif Raza
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2019, 60 : 587 - 598
[43] On multiplicative (generalized)-derivations in prime and semiprime rings
Dhara, Basudeb
Ali, Shakir
AEQUATIONES MATHEMATICAE, 2013, 86 (1-2) : 65 - 79
[44] Centralizers and Jordan triple derivations of semiprime rings
Lee, Tsiu-Kwen
Truong Cong Quynh
COMMUNICATIONS IN ALGEBRA, 2019, 47 (01) : 236 - 251
[45] Certain basic functional identities of semiprime rings
Lee, Tsiu-Kwen
COMMUNICATIONS IN ALGEBRA, 2019, 47 (01) : 17 - 29
[46] On certain functional equations related to Jordan triple (θ, φ)-derivations on semiprime rings
Fosner, Ajda
Vukman, Joso
MONATSHEFTE FUR MATHEMATIK, 2011, 162 (02): : 157 - 165
[47] A NEW CLASS OF SEMIPRIME RINGS
Calugareanu, Grigore
HOUSTON JOURNAL OF MATHEMATICS, 2018, 44 (01): : 21 - 30
[48] Commutators in semiprime gamma rings
Al Khalaf, Ahmad
Taha, Iman
Artemovych, Orest D.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (04)
[49] SEMIPRIME RINGS WITH INVOLUTION AND CENTRALIZERS
Ansari, Abu Zaid
Shujat, Faiza
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (3-4): : 709 - 717
[50] DERIVATIONS OF PRIME AND SEMIPRIME RINGS
Argac, Nurcan
Inceboz, Hulya G.
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (05) : 997 - 1005

← 1 2 3 4 5 →