Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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COMMUTATIVITY WITH ALGEBRAIC IDENTITIES INVOLVING PRIME IDEALS

  • Mir, Hajar El (Department of Mathematics Faculty of Science and Technology of Fez University S. M. Ben Abdellah Fez) ;
  • Mamouni, Abdellah (Department of Mathematics Faculty of Science and Technology Box 509-Boutalamin University Moulay Ismail) ;
  • Oukhtite, Lahcen (Department of Mathematics Faculty of Science and Technology of Fez University S. M. Ben Abdellah Fez)
  • Received : 2019.09.26
  • Accepted : 2020.02.18
  • Published : 2020.07.31
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Abstract

The purpose of this paper is to study the structure of quotient rings R/P where R is an arbitrary ring and P is a prime ideal of R. Especially, we will establish a relationship between the structure of this class of rings and the behavior of derivations satisfying algebraic identities involving prime ideals. Furthermore, the characteristic of the quotient ring R/P has been determined in some situations.

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References

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