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
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.
引用
收藏
页数:7
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