On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals

被引：3
|
作者：
Alnoghashi, Hafedh M. M. [1 ]
Naji, Sabah [2 ]
Rehman, Nadeem Ur [3 ]
机构：
[1] Amran Univ, Dept Math, Amran, Yemen
[2] Al Baha Univ, Fac Sci & Arts Baljurashi, Dept Math, Al Baha, Saudi Arabia
[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
来源：
JOURNAL OF MATHEMATICS | 2023年 / 2023卷
关键词：
PRIME;
D O I：
10.1155/2023/8855850
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)-derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities. Moreover, examples are provided to demonstrate that the restrictions imposed on the hypotheses of the various theorems are necessary.
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页数：7
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