Öz
Kaynakça
- [1] S. Akbaria, H.A. Tavallaeeb and S. Khalashi Ghezelahmad, Intersection graph of submodules of a module, J. Algebra Appl. 10, 1-8, 2011
Öz
This paper aims to associate a new graph to nonzero unital modules over commutative rings. Let R be a commutative ring having a nonzero identity and M be a nonzero unital R-module. The zero intersection graph of annihilator ideals of R-module M, denoted by CR(M), is a simple (undirected) graph whose vertex set M⋆ = M − {0}, and two distinct vertices m and m′ are adjacent if annR(m)∩annR(m′) = (0). We investigate the conditions under which CR(M) is a star graph, bipartite graph, complete graph, edgeless graph. Furthermore, we characterize certain classes of modules and rings such as torsion-free modules, torsion modules, semisimple modules, quasi-regular rings, and modules satisfying Property T in terms of their graphical properties.
Anahtar Kelimeler
Property A Property T torsion free modules quasi regular ring weak quasi regular module
Kaynakça
- [1] S. Akbaria, H.A. Tavallaeeb and S. Khalashi Ghezelahmad, Intersection graph of submodules of a module, J. Algebra Appl. 10, 1-8, 2011
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Cebir ve Sayı Teorisi |
| Bölüm | Matematik |
| Yazarlar | |
| Erken Görünüm Tarihi | 24 Haziran 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 17 Mayıs 2024 |
| Kabul Tarihi | 24 Şubat 2025 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |