대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제60권5호
  • /
  • Pages.1281-1293
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  • 2023
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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RELATIONSHIP BETWEEN THE STRUCTURE OF A FACTOR RING R/P AND DERIVATIONS OF R

  • Karim Bouchannafa (Department of Mathematics Faculty of Science and Technology, Box 2202 Sidi Mohamed Ben Abdellah University-Fez) ;
  • Moulay Abdallah Idrissi (Department of Mathematics and Informatics Polydisciplinary Faculty, Box 592 Sidi Mohamed Sultan Moulay Slimane University-Beni Mellal) ;
  • Lahcen Oukhtite (Department of Mathematics Faculty of Science and Technology, Box 2202 Sidi Mohamed Ben Abdellah University-Fez)
  • 투고 : 2022.09.21
  • 심사 : 2023.02.10
  • 발행 : 2023.09.30
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초록

The purpose of this paper is to study the relationship between the structure of a factor ring R/P and the behavior of some derivations of R. More precisely, we establish a connection between the commutativity of R/P and derivations of R satisfying specific identities involving the prime ideal P. Moreover, we provide an example to show that our results cannot be extended to semi-prime ideals.

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참고문헌

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