Değişmeli Halkalarda n-ideallerin Genelleştirmeleri

Abstract

R değişmeli, birimli bir halka olsun ve,  nin tüm ideallerinin kümesini göstersin. Bu çalışmada, esas olarak değişmeli halkalarda ideal kavramının bir  fonksiyonu aracıyla genelleştirmeleri üzerinde duracağız. Bu ideal sınıfının özellikleri detaylarıyla incelenecektir.

Keywords

• n-ideal,phi-n-ideal,phi-asal ideal,phi-asalımsı ideal

Generalizations of n-ideals of Commutative Rings

Abstract

Let  be a commutative ring with identity and  denotes the set of all ideals of . We will concerned in this study mainly with the generalizations of -ideals in commutative rings via a function .  Properties of this class of ideals will investigated in detail.

Keywords

• n-ideal,phi-n-ideal,phi-prime ideal,phi-primary ideal

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