Symmetric n-derivations on prime ideals with applications
Let S be a ring. The main objective of this paper is to analyze the structure of quotient rings, which are represented as S/P, where S is an arbitrary ring and P is a prime ideal of S. The paper aims to establish a link between the structure of these rings and the behaviour of traces of symmetric nd...
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| Format: | Article |
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American Institute of Mathematical Sciences (AIMS)
2023
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| _version_ | 1817927590749405184 |
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| author | Ali, Shakir Alali, Amal S. Husain, Sharifah K. Said Varshney, Vaishali |
| author_facet | Ali, Shakir Alali, Amal S. Husain, Sharifah K. Said Varshney, Vaishali |
| author_sort | Ali, Shakir |
| collection | UPM |
| description | Let S be a ring. The main objective of this paper is to analyze the structure of quotient rings, which are represented as S/P, where S is an arbitrary ring and P is a prime ideal of S. The paper aims to establish a link between the structure of these rings and the behaviour of traces of symmetric nderivations satisfying some algebraic identities involving prime ideals of an arbitrary ring S. Moreover, as an application of the main result, we investigate the structure of the quotient ring S/P and traces of symmetric n-derivations. |
| first_indexed | 2024-12-09T02:20:52Z |
| format | Article |
| id | upm.eprints-108840 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-12-09T02:20:52Z |
| publishDate | 2023 |
| publisher | American Institute of Mathematical Sciences (AIMS) |
| record_format | dspace |
| spelling | upm.eprints-1088402024-09-26T08:32:17Z http://psasir.upm.edu.my/id/eprint/108840/ Symmetric n-derivations on prime ideals with applications Ali, Shakir Alali, Amal S. Husain, Sharifah K. Said Varshney, Vaishali Let S be a ring. The main objective of this paper is to analyze the structure of quotient rings, which are represented as S/P, where S is an arbitrary ring and P is a prime ideal of S. The paper aims to establish a link between the structure of these rings and the behaviour of traces of symmetric nderivations satisfying some algebraic identities involving prime ideals of an arbitrary ring S. Moreover, as an application of the main result, we investigate the structure of the quotient ring S/P and traces of symmetric n-derivations. American Institute of Mathematical Sciences (AIMS) 2023-09-28 Article PeerReviewed Ali, Shakir and Alali, Amal S. and Husain, Sharifah K. Said and Varshney, Vaishali (2023) Symmetric n-derivations on prime ideals with applications. AIMS Mathematics, 8 (11). pp. 27573-27588. ISSN 2473-6988 http://www.aimspress.com/article/doi/10.3934/math.20231410 10.3934/math.20231410 |
| spellingShingle | Ali, Shakir Alali, Amal S. Husain, Sharifah K. Said Varshney, Vaishali Symmetric n-derivations on prime ideals with applications |
| title | Symmetric n-derivations on prime ideals with applications |
| title_full | Symmetric n-derivations on prime ideals with applications |
| title_fullStr | Symmetric n-derivations on prime ideals with applications |
| title_full_unstemmed | Symmetric n-derivations on prime ideals with applications |
| title_short | Symmetric n-derivations on prime ideals with applications |
| title_sort | symmetric n derivations on prime ideals with applications |
| work_keys_str_mv | AT alishakir symmetricnderivationsonprimeidealswithapplications AT alaliamals symmetricnderivationsonprimeidealswithapplications AT husainsharifahksaid symmetricnderivationsonprimeidealswithapplications AT varshneyvaishali symmetricnderivationsonprimeidealswithapplications |