In this paper, we introduce and study graded 2-absorbing and graded weakly 2-absorbing ideals of a graded ring which are different from 2-absorbing and weakly 2-absorbing ideals. We give some properties and characterizations of these ideals and their homogeneous components. We investigate graded (weakly) 2-absorbing ideals of $R_{1}\times R_{2}$ where $R_{1}$ and $R_{2}$ are two graded rings.
graded 2-absorbing ideal graded weakly 2-absorbing ideal graded weakly prime ideal graded prime ideal
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 15 Haziran 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 48 Sayı: 3 |