A Note On φ- Strongly Quasi Primary Ideals

doi:10.18185/erzifbed.1392407

DOI: 10.18185/erzifbed.1392407 ISSN: 1307-9085

A Note On φ- Strongly Quasi Primary Ideals

Rabia Nagehan ÜREGEN

Microbiology

Bu ¸calışmanın amacı asal ideallerin bir genelleştirmesi olan φ-kuvvetli yarı asalımsı idealleri tanımlamak ve bu ideallerin bazı temel özelliklerini incelemektir. R birimli ve değişmeli bir halka ve L(R), R nin tüm ideallerinin kümesi olsun. φ : L(R) → L(R)∪ {∅} olduğunu kabul edelim. Her a, b ∈ R olmak üzere ab ∈ I − φ(I) iken a^2∈ I veya b^n ∈ I ise R nin I has idealine φ-kuvvetli yarıasalımsı ideal denir. Tanımın ardından bu yeni yapının temel özellikleri belirlenerek φ-2 asal, kuvvetli yarıasalımsı ideal ve φ-yarıasal ideal gibi ideallerle olan ilişkisi incelenmiştir

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