[PDF] Top 20 Properties of extended ideal based zero divisor graph of a commutative ring
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Properties of extended ideal based zero divisor graph of a commutative ring
... an ideal of R, then the extended annihilator of X is defined as Ann(X) ={y ∈ R | x n y m ∈ I for every x ∈ X and for some positive integers n, ...of extended associated prime of a ring R, is ... See full document
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Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring
... the properties of a graph G that depend only on adjacency between edges may be translated into equivalent properties in L(G) that depend on adjacency between ...line graph L(G) is known, one ... See full document
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Number theoretic properties of the commutative ring Zn
... the properties of counting ...deep properties of ...in graph theory and motivated the special way for emerging of a new class of undirected simple graphs, namely arithmetic ... See full document
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Finitely Generated Annihilating-Ideal Graph of Commutative Rings
... h properties of graphs, became an exciting re- e study of algebraic structures, using the search topic in the past ...a graph to a ring (see for exam- ple [6, 7, 9, 10, ...a commutative ... See full document
9
Some results on a subgraph of the intersection graph of ideals of a commutative ring
... quasilocal ring which is not a ...basic properties of g(R) are ...valuation ring. Let (R, m) be a chained ring which is not an integral ...quasilocal ring which is not a ...Artinian ... See full document
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Vol 7, No 2 (2016)
... a commutative ring to a ...between graph theory and the algebraic concept of ring ...a commutative ring with ...a graph Γ(R) to a commutative ring R with ... See full document
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A Submodule-Based Zero Divisors Graph for Modules
... a commutative ring with identity and M be an R- module. The zero divisor graph of M is denoted by Γ( M ...the zero divisor graph Γ(M) to submodule- based ... See full document
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A Note on a graph associated to a commutative ring
... are commutative with ...a graph with certain subsets of a ring and investigated the interplay between the ring-theoretic properties of a ring and the graph- theoretic ... See full document
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Associated Graphs of Modules Over Commutative Rings
... a commutative ring with identity and let M be an ...new graph associated to modules over commutative ...algebraic properties of modules and their associated ...associated graph ... See full document
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Exact annihilating-ideal graph of commutative rings
... an ideal I of R is an exact annihilating-ideal if there exists an ideal J of R such that Ann(I) = J and Ann(J) = ...exact zero-divisor graph of commutative rings studied ... See full document
7
INDEPENDENCE AND CLIQUE POLYNOMIALS OF ZERO-DIVISOR GRAPH OF THE INTEGER MODULO n (ℤ𝒏)
... the zero-divisor graph of commutative rings; where they considered the set of vertices as the set of zero-divisors of the ring and in which two vertices x and y are said to be ... See full document
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On the Cozero Divisor Graphs of Commutative Rings
... and R were studied in [6]. In this paper, we study the cozero-divisor graphs of the rings of polynomials, power series and the direct product of two arbitrary commutative rings. Also, we look at ... See full document
7
Construction of Zero Divisor Graphs of Rings
... on zero divisor graphs. They also introduced a graph for modules that is useful for studying zero divisor graphs of trivial ...basic properties of the zero-divisor ... See full document
6
Zero divisor graphs of posets
... of zero divisor graphs over a non-commutative ...about zero divi- sor graphs of non-commutative rings, we have studied the zero divisor graphs of matrices over ... See full document
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A note on the coprime graph of a group
... a commutative semigroup with a zero element then the zero-divisor graph of S is a graph whose vertices are elements of S and two distinct elements x, y are adjacent iff xy = ... See full document
6
F-regularity relative to modules
... In [2], the dual notion of tight closure of ideals relative to modules was introduced and some properties of this concept which reflect results of tight closure in the classical situation were obtained. It is ... See full document
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A generalization of zero-divisor graphs
... A graph C is called to be a zero-divisor if these exist non-isomorphic graphs A and B for which A × C ∼ = B × C [23, ...in graph theory with the concept of zero-divisor graphs in ... See full document
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On the Line Graph of the Complement Graph for the Ring of Gaussian Integers Modulo n
... a graph is a maximal complete subgraph. A graph G is said to be split if it’s vertex set can be partitioned into two subsets A and B such that A induces a clique and B is independent in G ... See full document
11
On zero-divisor graphs of quotient rings and complemented zero-divisor graphs
... ring with identity element was first introduced by I. Beck in [6] and has been studied by many authors (see for example [1, 2, 3, 5, 11]). In [10], Redmond has extended this notion to noncommutative rings ... See full document
12
On Commutativity of Rings Under Certain Polynomial Constraints
... a contradiction. Using similar arguments as used above, It can be easily shown that there does not exists any ring among the remaining four rings as discussed above which is satisfying the property ( P 2 ) and in ... See full document
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