Actions of generalized derivations on prime ideals in *-rings with applications

被引：1
|
作者：
Abbasi, Adnan [1 ]
Khan, Abdul Nadim [2 ]
Khan, Mohammad Salahuddin [3 ]
机构：
[1] Madanapalle Inst Technol & Sci, Dept Math, Madanapalle 517325, India
[2] King Abdulaziz Univ, Coll Sci & Arts Rabigh, Dept Math, Rabigh, Saudi Arabia
[3] Aligarh Muslim Univ, ZH Coll Engn & Technol, Dept Appl Math, Aligarh 202002, India
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2023年 / 52卷 / 05期
关键词：
derivation; generalized derivation; involution; prime ideal; COMMUTATIVITY; MAPS;
D O I：
10.15672/hujms.1119353
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we make use of generalized derivations to scrutinize the deportment of prime ideal satisfying certain algebraic *-identities in rings with involution. In specific cases, the structure of the quotient ring ?/Y will be resolved, where ? is an arbitrary ring and Y is a prime ideal of ? and we also find the behaviour of derivations associated with generalized derivations satisfying algebraic *-identities involving prime ideals. Finally, we conclude our paper with applications of the previous section's results.
引用
收藏
页码：1219 / 1228
页数：10
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