Results 121 to 130 of about 575,168 (177)
Zero Divisor Graphs and Poset Decomposition
, 2011 A graph is associated to any commutative ring R where the vertices are the non-zero zero divisors of R with two vertices adjacent if x · y = 0. The zero-divisor graph has also been studied for various algebraic stuctures such as semigroups and partially ...
Putnam, Bette Catherine
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Eigenvalues of zero-divisor graphs
V diplomski nalogi spoznamo grafe deliteljev niča. Ti povežejo algebrajske strukture in teorijo grafov na zanimiv in intuitiven način. Tako lahko s študijem enega področja pridemo do uporabnih dognanj na drugem.
Verbič, Jošt
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Zero-divisor graphs of direct products of commutative rings
, 2006 We recall several results of zero divisor graphs of commutative rings. We then examine the preservation of diameter and girth of the zero divisor graph of direct products of commutative ...
Warfel, Joseph +2 more
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Generalizations and Variations of the Zero-Divisor Graph
, 2017 We explore generalizations and variations of the zero-divisor graph on commutative rings with identity. A zero-divisor graph is a graph whose vertex set is the nonzero zero-divisors of a ring, wherein two distinct vertices are adjacent if their product ...
McClurkin, Grace Elizabeth
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Zero divisors in differential rings [PDF]
Pacific Journal of Mathematics, 1971 openaire +3 more sources
Strong zero-divisor graph of p.q.-Baer $*$-rings
In this paper, we study the strong zero-divisor graph of a p.q.-Baer $*$-ring. We determine the condition on a p.q.-Baer $*$-ring (in terms of the smallest central projection in a lattice of central projections of a $*$-ring), so that its strong zero ...
Waphare, B. N. +2 more
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A Submodule-Based Zero Divisor Graph for Modules
, 2019 Let R be a commutative ring with identity and M be an R-module. The zero divisor graph of M is denoted by Gamma(M). In this study, we are going to generalize the zero divisor graph Gamma(M) to submodule-based zero divisor graph Gamma(M, N) by replacing ...
Payrovi, Shiroyeh +2 more
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Prüfer rings with zero divisors.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1969 openaire +2 more sources
A Comparison of Zero Divisor Graphs
, 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
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Determining Corresponding Artinian Rings to Zero-Divisor Graphs
, 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
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