Signed Zero-Divisor Graphs Over Commutative Rings  

作　　者：Lu Lu Lihua Feng Weijun Liu 

机构地区：[1]School of Mathematics and Statistics,HNP-LAMA,Central South University,Changsha 410083,Hunan,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2024年第3期463-477,共15页数学与统计通讯（英文）

基　　金：supported by NSFC(Grant No.12001544);Hunan Provincial Natural Science Foundation(Grant No.2021JJ40707);supported by NSFC(Grant Nos.11871479,12071484);Hunan Provincial Natural Science Foundation(Grant Nos.2018JJ2479,2020JJ4675).

摘　　要：In this paper,we define signed zero-divisor graphs over commutative rings and investigate the interplay between the algebraic properties of the rings and the combinatorial properties of their corresponding signed zero-divisor graphs.We investigate the structure of signed zero-divisor graphs,the relation between ideals and signed zero-divisor graphs,and the adjacency matrices and the spectra of signed zero-divisor graphs.

关 键 词：RING IDEAL Signed graph Adjacency matrix 

分 类 号：O15[理学—数学]