[PDF] Top 20 A graph associated to spectrum of a commutative ring
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A graph associated to spectrum of a commutative ring
... Proof. By using the first isomorphism theorem for rings, R/Ker(f ) ∼ = R 0 . The result now immediately follows from Theorem 2.1 (i). Remark 2.3. Let R 0 be an extension ring of R and q ∈ Spec(R). A prime ideal Q ... See full document
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A Note on a graph associated to a commutative ring
... from graph theory before we describe the results that are proved in Section 2 of this ...A graph G = (V, E) is said to be connected if for any distinct a, b ∈ V , there exists a path in G between a and b ... See full document
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Classical Zariski Topology on Prime Spectrum of Lattice Modules
... a commutative ring in [3] and the second classical Zariski topology on the second spectrum of modules over a commutative ring is introduced and studied by ... See full document
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Noncommutative (Crepant) Desingularizations and the Global Spectrum of Commutative Rings
... any commutative ring that appears weaker but generalizes all previous ...global spectrum of a ring R, that is, the set of all possible finite global dimensions of endomorphism rings of MCM ... See full document
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Finitely Generated Annihilating-Ideal Graph of Commutative Rings
... annihilating-ideal graph of a commutative ring was first introduced by Behboodi and Rakeei in [11, ...annihilating-ideal graph has been extensively studied by various authors (see for in- ... 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 ...whose associated graph is complete, tree or complete bipartite are ... See full document
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Properties of extended ideal based zero divisor graph of a commutative ring
... a commutative ring with identity. The zero divisor graph of a ring R, denoted by Γ(R), is the simple graph associated to R such that its vertex set consists of all its nonzero ... See full document
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Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring
... zero-divisor graph of a commutative ring has also been studied by several other ...zero-divisor graph has also been introduced for semigroups and other algebraic ...on graph ... See full document
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Exact annihilating-ideal graph of commutative rings
... graphs associated with algebraic structures was in- itiated in 1878 when Arthur Cayley introduced Cayley graph of finite groups in ...annihilating-ideal graph of a commutative ring was ... 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 ...S.Livingston associated a graph Γ(R) to a ... See full document
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The compressed annihilator graph of a commutative ring
... a commutative ring with non-zero identity, Z(R) its set of zero- divisors, Nil(R) its set of nilpotent elements, Ass(R) its set of associated primes and Min(R) its set of minimal prime ... See full document
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The graph of a commutative KU-algebra
... the graph theory in connection with (commutative) semigroups and (commutative) rings, see [1, 2, 4, and ...of commutative rings and he considered all the elements of a ring as ...The ... See full document
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The total graph of a commutative semiring with respect to proper ideals
... a commutative semiring, we mean a commutative semigroup (R, ·) and a commutative monoid (R, +, 0) in which 0 is the additive identity and r · 0 = 0 · r = 0 for all r ∈ R, both are connected by ... See full document
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THE NON-COMMUTATIVE FULL RHOTRIX RING AND ITS SUBRINGS
... rhotrix ring is a ring having rhotrix set as an underlying ...a ring 𝑅 is called a subring of 𝑅 if 𝑆 is a ring under the operations of addition and multiplication defined on ... See full document
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Convexity of Y Edge DominationVariants of Corona Product Graph of a Cycle with a Star
... in graph theory today. Many graph theorists, Cockayne and Hedetniemi [5,6,7], Reji kumar [15], Sampathkumar [16] and others have contributed significantly to the theory of dominating sets, domination ... See full document
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On Pointwise Feedback Invariants of Linear Parameter varying Systems
... Throughout this paper we focus on commutative ring R = C (Λ, R ) of real valued continuous functions defi- ned on compact topological space Λ. Note that since Λ is compact then maximal ideals m of R are in ... See full document
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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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Analysis of Algebra of Complex Analysis
... A ring that is a semisimple module over itself is known as an Artinian semisimple ...Artinian ring is at first comprehended by means of its biggest semisimple ...a ring R are the (left or right) ... See full document
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A New Approach for Graph Coloring
... Any other remarkable work from the sector of allotted algorithms designed for graph coloring is the distributed largest First(DLF) set of rules introduced in Kubale and Kuszner (2002). DLF is an development over ... See full document
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A combinatorial commutativity property for rings
... Proof. We may assume that n= 8. Suppose that R is a counterexample. By Theorem 3.1, |R| ≤ 8; and since all rings with 1 having fewer than 8 elements are commutative, |R| = 8 and R is indecomposable. Since ... See full document
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