Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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RELATIONSHIP BETWEEN THE STRUCTURE OF A QUOTIENT RING AND THE BEHAVIOR OF CERTAIN ADDITIVE MAPPINGS

  • Bouchannafa, Karim (Department of Mathematics Faculty of Science and Technology Sidi Mohamed Ben Abdellah University) ;
  • Idrissi, Moulay Abdallah (Department of Mathematics and informatics Polydisciplinary Faculty Sultan Moulay Slimane University) ;
  • Oukhtite, Lahcen (Department of Mathematics Faculty of Science and Technology Sidi Mohamed Ben Abdellah University)
  • Received : 2021.04.13
  • Accepted : 2021.06.25
  • Published : 2022.04.30
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Abstract

The principal aim of this paper is to study the connection between the structure of a quotient ring R/P and the behavior of special additive mappings of R. More precisely, we characterize the commutativity of R/P using derivations (generalized derivations) of R satisfying algebraic identities involving the prime ideal P. Furthermore, we provide examples to show that the various restrictions imposed in the hypothesis of our theorems are not superfluous.

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References

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