Results 101 to 110 of about 22,120 (235)

On zero divisor graph of unique product monoid rings over Noetherian reversible ring [PDF]

Categories and General Algebraic Structures with Applications, 2016
Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors.  The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero  zero-divisors of  $R$, and two distinct vertices $r$ and $
Ebrahim Hashemi, Abdollah Alhevaz, Eshag Yoonesian   +2 more
doaj  

On the ideal-based zero-divisor graphs

International Electronic Journal of Algebra, 2018
Let R be a commutative ring. In this paper, we study the annihilator ideal-based zero-divisor graph by replacing the ideal I of R with the ideal AnnR(M) for an R-module M. Also, we investigate a certain subgraph of the annihilator ideal-based zero-divisor graph and obtain some related results.
ANSARİ-TOROGHY, Habibollah, FARSHADİFAR, Faranak, MAHBOOBİ-ABKENAR, Farideh   +2 more
openaire   +4 more sources

Review of: "Zero-Divisor Graphs of ℤ_n, their products and D_n" [PDF]

, 2023
Yuefeng Yang
  +8 more sources

Zero-divisor graphs of idealizations with respect to prime modules [PDF]

, 2007
Sh. Ebrahimi Atani, Z. Ebrahimi Sarvandi
openalex   +1 more source

The total zero-divisor graph of a commutative ring

Journal of Algebra and Its Applications, 2019
In this paper, we initiate the study of the total zero-divisor graph over a commutative ring with unity. This graph is constructed by both relations that arise from the zero-divisor graph and from the total graph of a ring and give a joint insight of the structure of zero-divisors in a ring. We characterize Artinian rings with the connected total zero-
Alen Ðurić, Sara Jevđenić, Polona Oblak, Nik Stopar   +3 more
openaire   +3 more sources

Zero-divisor graphs of reduced Rickart *-rings

Discussiones Mathematicae - General Algebra and Applications, 2017
For a ring A with an involution *, the zero-divisor graph of A, Γ*(A), is the graph whose vertices are the nonzero left zero-divisors in A such that distinct vertices x and y are adjacent if and only if xy* = 0.
Patil A.A., Waphare B.N.
doaj   +1 more source

Forgotten Topological Index of The Zero Divisor Graph for Some Rings of Integers

Journal of the Indonesian Mathematical Society
A topological index is a numerical value that provides information about the structure of a graph. Among various degree-based topological indices, the forgotten topological index (F-index) is of particular interest in this study.
G. Semil @ Ismail, N. Sarmin, N. I. Alimon, Fariz Maulana   +3 more
semanticscholar   +1 more source

On total directed graphs of non-commutative rings

AKCE International Journal of Graphs and Combinatorics, 2017
For a non-commutative ring , the left total directed graph of is a directed graph with vertex set as and for the vertices and , is adjacent to if and only if there is a non-zero which is different from and , such that is a left zero-divisor of .
Kukil Kalpa Rajkhowa, Helen K. Saikia
doaj   +1 more source

Graphs from matrices - a survey

AKCE International Journal of Graphs and Combinatorics
Let R be a commutative ring with identity. For a positive integer [Formula: see text] let [Formula: see text] be the set of all n × n matrices over R and [Formula: see text] be the set of all non-zero matrices of [Formula: see text] The zero-divisor ...
T. Tamizh Chelvam
doaj   +1 more source

ON VARIETIES OF RINGS WHOSE FINITE RINGS ARE DETERMINED BY THEIR ZERO-DIVISOR GRAPHS [PDF]

, 2012
A. S. Kuzmina, Yu. N. Mal’tsev
openalex   +1 more source