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On Graded --absorbing prime ideals
Mashhoor Refai, Rashid Abu-Dawwas, Unsal Tekir +3
Let be a group, be a -graded commutative ring with nonzero unity and be the set of all graded ideals of . Suppose that $ϕ:GI(R)\rightarrow GI(R)\cup\{\emptyse…
On -absorbing -primary ideals
Abdelhaq El Khalfi, Najib Mahdou, Ünsal Tekir +1
Let be a commutative ring with nonzero identity. Let be the set of all ideals of and let be a function. T…
On -1-Absorbing Prime Ideals
Eda Yıldız, Ünsal Tekir, Suat Koç
In this paper, we introduce -1-absorbing prime ideals in commutative rings. Let be a commutative ring with a nonzero identity and $ϕ:\mathcal{I}(R)\rightarrow\mathc…
On Weakly 1-Absorbing Prime Ideals
Suat Koç, Ünsal Tekir, Eda Yıldız
This paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let be a commutative ring with a nonzero identity . A proper ideal of is s…
Generalization of 2-absorbing quasi primary ideals
Emel Aslankarayigit Ugurlu, Unsal Tekir, Suat Koc
In this article, we introduce and study the concept of -2-absorbing quasi primary ideals in commutative rings. Let be a commutative ring with a nonzero identity and b…