Graded Weakly 1-absorbing prime ideals
| Autor: | TEKİR, ÜNSAL |
|---|---|
| Přispěvatelé: | Tekir Ü., Koç S., Abu-Dawwas R., Yıldız E. |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
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 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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