【摘 要】
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In this paper,we introduce a new graph whose vertices are the non-zero zero-divisors of a commutative ring R,and for distincts elements x and y in the set Z(R)*
【机 构】
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Laboratory of Mathematics, Computing and Applications-Information Security (LabMia-SI) Faculty of Sc
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In this paper,we introduce a new graph whose vertices are the non-zero zero-divisors of a commutative ring R,and for distincts elements x and y in the set Z(R)* of the non-zero zero-divisors of R,x and y are adjacent if and only if xy =0 or x +y ∈ Z(R).We present some properties and examples of this graph,and we study its relationship with the zero-divisor graph and with a subgraph of the total graph of a commutative ring.
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