COMMUTATIVITY WITH ALGEBRAIC IDENTITIES INVOLVING PRIME IDEALS

COMMUTATIVITY WITH ALGEBRAIC IDENTITIES INVOLVING PRIME IDEALS

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 prim...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2020, 35(3), , pp.723-731
Hauptverfasser: Mir, Hajar El, Mamouni, Abdellah, Oukhtite, Lahcen
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung: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.
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.c190338