Results 121 to 130 of about 576,514 (220)

A Comparison of Zero Divisor Graphs [PDF]

open access: yes, 2009
A zero divisor graph of a ring R is a visual representation of the zero divisors and their relationships in R. (If a and b are non-zero elements in R such that ab = 0, then a and b are vertices of the graph and connected by an edge.) These graphs have ...
Spiroff, Sandra
core   +1 more source

تصنیف بیانات قواسم الصفر للحلقات الإبدالیة ذات الدرجات 7 و 8

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2013
Husam Q. Mohammad, Nazar H. Shuker
doaj   +1 more source

Determining Corresponding Artinian Rings to Zero-Divisor Graphs [PDF]

open access: yes, 2016
We introduce Anderson\u27s and Livingston\u27s definition of a zero-divisor graph of a commutative ring. We then redefine their definition to include looped vertices, enabling us to visualize nilpotent elements.
Jones, Abigail Mary
core   +1 more source

A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs

open access: yesTurkish Journal of Mathematics and Computer Science
In this paper, we introduce the t-zero divisor graph $\Gamma_{T}(L)$, which is a generalization of the zero divisor graph of a lattice $\Gamma(L)$, where $t$ is a triangular norm on $L$. We investigate which properties hold in $t$-zero divisor graphs for special $t$-norms while giving some additional properties of the zero divisor graph.
openaire   +2 more sources

C 4 -free zero-divisor graphs [PDF]

open access: yes, 2013
. In this paper we give a characterization for all commutative rings with 1 whose zero-divisor graphs are C4 ...
Sayyed Heidar Jafari
core  

Zero-Divisor Graphs and Lattices of Finite Commutative Rings [PDF]

open access: yes, 2017
In this paper we consider, for a finite commutative ring R, the well-studied zero-divisor graph Γ(R) and the compressed zero-divisor graph Γc(R) of R and a newly-defined graphical structure --- the zero-divisor lattice Λ(R) of R. We give results which
Weber, Darrin
core   +1 more source

Prüfer rings with zero divisors.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1969
openaire   +2 more sources

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