[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c190338

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)

Publication Information

Communications of the Korean Mathematical Society / v.35, no.3, 2020 , pp. 723-731 More about this Journal

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.

Keywords

Derivations; prime ideals; commutativity;

Citations & Related Records

Reference

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