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Some Properties of Commuting Graph of the Ring of All m1⊕m2 Matrices |
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PP: 1-4 |
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doi:10.18576/isl/100101
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Author(s) |
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Manal Al-Labadi,
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Abstract |
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| The commuting graph of a ring R, denoted by Γ (R), is a graph whose vertices are all non-central elements of R and two distinct vertices u and v are adjacent if and only if uv = vu. In this paper let R be the commutative ring with 1R ̸= 0R . In this paper we investigate, some basic properties of Γ (M(m1 ⊕ m2, R)) we find the g(Γ ((M(m1 ⊕ m2, R))) = 3 and we show that Γ ((M(m1 ⊕ m2, R)) is not Eulerian, and Γ((M(m1 ⊕m2,R)) is not planar. |
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