Weak right η-centralizers of prime rings
This work encompasses the study of certain weak maps termed as weak right η-centralizers defined on [Formula: see text] a noncommutative prime ring to [Formula: see text]. The first section provides an overview of the motivation behind our work. In the second section, our main focus is to establish...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2024.2325116 |
| _version_ | 1826929991767556096 |
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| author | Mohammad Aslam Siddeeque Nazim Khan Ali Ahmed Abdullah |
| author_facet | Mohammad Aslam Siddeeque Nazim Khan Ali Ahmed Abdullah |
| author_sort | Mohammad Aslam Siddeeque |
| collection | DOAJ |
| description | This work encompasses the study of certain weak maps termed as weak right η-centralizers defined on [Formula: see text] a noncommutative prime ring to [Formula: see text]. The first section provides an overview of the motivation behind our work. In the second section, our main focus is to establish the characterization of weak right η-centralizers while addressing the theory of functional identities, particularly in the challenging case of low dimensions. Furthermore, in the third section, we derive the characterization of weak Jordan σ-derivations based on the aforementioned characterization. |
| first_indexed | 2024-03-07T14:55:44Z |
| format | Article |
| id | doaj.art-b1319a663dbb4b6184ac55eda614436d |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2025-02-17T16:17:29Z |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-b1319a663dbb4b6184ac55eda614436d2024-12-17T11:38:47ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552024-12-0118110.1080/16583655.2024.2325116Weak right η-centralizers of prime ringsMohammad Aslam Siddeeque0Nazim Khan1Ali Ahmed Abdullah2Department of Mathematics, Aligarh Muslim University, Aligarh, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh, IndiaThis work encompasses the study of certain weak maps termed as weak right η-centralizers defined on [Formula: see text] a noncommutative prime ring to [Formula: see text]. The first section provides an overview of the motivation behind our work. In the second section, our main focus is to establish the characterization of weak right η-centralizers while addressing the theory of functional identities, particularly in the challenging case of low dimensions. Furthermore, in the third section, we derive the characterization of weak Jordan σ-derivations based on the aforementioned characterization.https://www.tandfonline.com/doi/10.1080/16583655.2024.2325116Prime ringderivationmaximal left ring of quotientspolynomial identity (PI)generalized polynomial identity (GPI)functional identity (FI) |
| spellingShingle | Mohammad Aslam Siddeeque Nazim Khan Ali Ahmed Abdullah Weak right η-centralizers of prime rings Journal of Taibah University for Science Prime ring derivation maximal left ring of quotients polynomial identity (PI) generalized polynomial identity (GPI) functional identity (FI) |
| title | Weak right η-centralizers of prime rings |
| title_full | Weak right η-centralizers of prime rings |
| title_fullStr | Weak right η-centralizers of prime rings |
| title_full_unstemmed | Weak right η-centralizers of prime rings |
| title_short | Weak right η-centralizers of prime rings |
| title_sort | weak right η centralizers of prime rings |
| topic | Prime ring derivation maximal left ring of quotients polynomial identity (PI) generalized polynomial identity (GPI) functional identity (FI) |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2024.2325116 |
| work_keys_str_mv | AT mohammadaslamsiddeeque weakrightēcentralizersofprimerings AT nazimkhan weakrightēcentralizersofprimerings AT aliahmedabdullah weakrightēcentralizersofprimerings |