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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
American Institute of Mathematical Sciences (AIMS)
2023
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/108840/ http://www.aimspress.com/article/doi/10.3934/math.20231410 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Putra Malaysia |
| id |
my.upm.eprints.108840 |
|---|---|
| record_format |
eprints |
| spelling |
my.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 |
| institution |
Universiti Putra Malaysia |
| building |
UPM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Putra Malaysia |
| content_source |
UPM Institutional Repository |
| url_provider |
http://psasir.upm.edu.my/ |
| 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. |
| format |
Article |
| author |
Ali, Shakir Alali, Amal S. Husain, Sharifah K. Said Varshney, Vaishali |
| spellingShingle |
Ali, Shakir Alali, Amal S. Husain, Sharifah K. Said Varshney, Vaishali Symmetric n-derivations on prime ideals with applications |
| author_facet |
Ali, Shakir Alali, Amal S. Husain, Sharifah K. Said Varshney, Vaishali |
| author_sort |
Ali, Shakir |
| title |
Symmetric n-derivations on prime ideals with applications |
| title_short |
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_sort |
symmetric n-derivations on prime ideals with applications |
| publisher |
American Institute of Mathematical Sciences (AIMS) |
| publishDate |
2023 |
| url |
http://psasir.upm.edu.my/id/eprint/108840/ http://www.aimspress.com/article/doi/10.3934/math.20231410 |
| _version_ |
1811686028771065856 |