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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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Main Authors: Ali, Shakir, Alali, Amal S., Husain, Sharifah K. Said, Varshney, Vaishali
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
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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
score 13.214268

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