Some Classification Theorems and Endomorphisms in New Classes

被引：0

作者：

Alnoghashi, Hafedh ^{[1
]}

Alali, Amal S. ^{[2
]}

Sogutcu, Emine Koc ^{[3
]}

Rehman, Nadeem ur ^{[4
]}

Alqarni, Faez A. ^{[5
]}

机构：

[1] Amran Univ, Coll Engn & Informat Technol, Dept Comp Sci, Amran, Yemen

[2] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[3] Cumhuriyet Univ, Fac Sci, Dept Math, TR-58140 Sivas, Turkiye

[4] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

[5] Univ Prince Mugrin UPM, Dept Gen Studies, Madinah 42311, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 18期

关键词：

prime ring; endomorphism; automorphism; antiautomorphism; strong commutativity preserving (SCP); commutator; GENERALIZED DERIVATIONS; COMMUTATIVITY; RINGS; AUTOMORPHISMS; MAPPINGS; IDEALS; MAPS;

D O I：

10.3390/math11183910

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let ℧ be a prime ring of char(℧) not equal 2 with its center Z. This article introduces new classes of endomorphisms and investigates how they relate to antiautomorphisms of prime rings and the commutativity of prime rings. Additionally, we fully describe and classify some of these endomorphisms. We also give examples to prove the necessity of the numerous restrictions included in the hypotheses of our results.

引用

页数：16

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