On the compressed essential graph of a module over a commutative ring
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let R be a commutative ring and M be an R-module. The compressed essential graph of M, denoted by EG(M) is a simple undirected graph associated to M whose vertices are classes of torsion elements of M and two distinct classes [m] and [m '] are adjacent if and only if Ann(R)(m) + Ann(R)(m ') is an essential ideal of R. In this paper, we study diameter and girth of EG(M) and we characterize all modules for which the compressed essential graph is connected. Moreover, it is proved that omega(EG(M)) = |Ass(R)(M)|, whenever R is Noetherian and M is a finitely generated multiplication module with r(Ann(R)(M)) = 0.
Açıklama
Anahtar Kelimeler
Zero Divisor Graph, Essential Zero Divisor Graph, Associated Prime İdeals, Zero-Divisor Graph
Kaynak
Asian-European Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
14
Sayı
7
