A Pair of Derivations on Prime Rings with Antiautomorphism
This article examines the commutativity of rings with antiautomorphisms, specifically when they are equipped with derivations that satisfy certain algebraic identities. Moreover, we present examples to demonstrate the necessity of the various restrictions imposed in the hypotheses of our theorems.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/15/3337 |
| _version_ | 1797586378368745472 |
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| author | Faez A. Alqarni Amal S. Alali Hafedh Alnoghashi Nadeem ur Rehman Claus Haetinger |
| author_facet | Faez A. Alqarni Amal S. Alali Hafedh Alnoghashi Nadeem ur Rehman Claus Haetinger |
| author_sort | Faez A. Alqarni |
| collection | DOAJ |
| description | This article examines the commutativity of rings with antiautomorphisms, specifically when they are equipped with derivations that satisfy certain algebraic identities. Moreover, we present examples to demonstrate the necessity of the various restrictions imposed in the hypotheses of our theorems. |
| first_indexed | 2024-03-11T00:22:25Z |
| format | Article |
| id | doaj.art-608ab810d403442f861d79b1c87bb8e2 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T00:22:25Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-608ab810d403442f861d79b1c87bb8e22023-11-18T23:15:17ZengMDPI AGMathematics2227-73902023-07-011115333710.3390/math11153337A Pair of Derivations on Prime Rings with AntiautomorphismFaez A. Alqarni0Amal S. Alali1Hafedh Alnoghashi2Nadeem ur Rehman3Claus Haetinger4Department of General Studies, University of Prince Mugrin (UPM), Madinah 42311, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaInstitute of Mathematics, Statistics and Physics—IMEF, Federal University of Rio Grande—FURG, Rio Grande 96201-900, BrazilThis article examines the commutativity of rings with antiautomorphisms, specifically when they are equipped with derivations that satisfy certain algebraic identities. Moreover, we present examples to demonstrate the necessity of the various restrictions imposed in the hypotheses of our theorems.https://www.mdpi.com/2227-7390/11/15/3337prime ringautomorphismantiautomorphismderivationcommutatorstrong commutativity preserving |
| spellingShingle | Faez A. Alqarni Amal S. Alali Hafedh Alnoghashi Nadeem ur Rehman Claus Haetinger A Pair of Derivations on Prime Rings with Antiautomorphism Mathematics prime ring automorphism antiautomorphism derivation commutator strong commutativity preserving |
| title | A Pair of Derivations on Prime Rings with Antiautomorphism |
| title_full | A Pair of Derivations on Prime Rings with Antiautomorphism |
| title_fullStr | A Pair of Derivations on Prime Rings with Antiautomorphism |
| title_full_unstemmed | A Pair of Derivations on Prime Rings with Antiautomorphism |
| title_short | A Pair of Derivations on Prime Rings with Antiautomorphism |
| title_sort | pair of derivations on prime rings with antiautomorphism |
| topic | prime ring automorphism antiautomorphism derivation commutator strong commutativity preserving |
| url | https://www.mdpi.com/2227-7390/11/15/3337 |
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