Graded Weakly 1-absorbing prime ideals
Graded Weakly 1-absorbing prime ideals
In this paper, we introduce and study graded weakly 1- absorbing prime ideals in graded commutative rings. Let G be a group and R be a G-graded commutative ring with a nonzero identity 1 ̸= 0. A proper graded ideal P of R is called a graded weakly 1-absorbing prime ideal if for each nonunits x, y, z ∈ h(R) with 0 ̸= xyz ∈ P, then either xy ∈ P or z ∈ P. We give many properties and characterizations of graded weakly 1-absorbing prime ideals. Moreover, we investigate weakly 1-absorbing prime ideals under homomorphism, in factor ring, in rings of fractions, in idealization.
- Istanbul Medeniyet University Turkey
- Marmara University Turkey
- Yarmouk University Jordan
- YILDIZ TECNHICAL UNIVERSITY Turkey
- Yıldız Technical University Turkey
Commutative Rings and Algebras, weakly 1-absorbing prime ideal, Logic, Temel Bilimler (SCI), Geometri ve Topoloji, graded weakly 1-absorbing prime ideal, ÇOK DİSİPLİNLİ BİLİMLER, 1-absorbing prime ideal, MATHEMATICS, MATEMATİK, Discrete Mathematics and Combinatorics, Mantık, Matematik, Multidisipliner, graded ideal, Multidisciplinary, MULTIDISCIPLINARY SCIENCES, Temel Bilimler, Doğa Bilimleri Genel, NATURAL SCIENCES, GENERAL, Ayrık Matematik ve Kombinatorik, Fizik Bilimleri, Değişmeli Halkalar ve Cebirler, Natural Sciences (SCI), Physical Sciences, Geometry and Topology, Natural Sciences, Mathematics
Commutative Rings and Algebras, weakly 1-absorbing prime ideal, Logic, Temel Bilimler (SCI), Geometri ve Topoloji, graded weakly 1-absorbing prime ideal, ÇOK DİSİPLİNLİ BİLİMLER, 1-absorbing prime ideal, MATHEMATICS, MATEMATİK, Discrete Mathematics and Combinatorics, Mantık, Matematik, Multidisipliner, graded ideal, Multidisciplinary, MULTIDISCIPLINARY SCIENCES, Temel Bilimler, Doğa Bilimleri Genel, NATURAL SCIENCES, GENERAL, Ayrık Matematik ve Kombinatorik, Fizik Bilimleri, Değişmeli Halkalar ve Cebirler, Natural Sciences (SCI), Physical Sciences, Geometry and Topology, Natural Sciences, Mathematics
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