Değişmeli Halkalarda n-ideallerin Genelleştirmeleri

Year 2019, , 650 - 657, 31.08.2019

Ece Yetkin Çelikel

https://doi.org/10.18185/erzifbed.471609

Cited By: 1

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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