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: | , , , |
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| Format: | Article |
| Published: |
American Institute of Mathematical Sciences (AIMS)
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/108840/ http://www.aimspress.com/article/doi/10.3934/math.20231410 |
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| Summary: | 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. |
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