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| Paper IPM / M / 16314 |
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| Abstract: | |||||
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Let R and S be commutative rings with identity, f:R→ S a ring homomorphism and J an ideal of S. Then the subring R\bowtiefJ:={(r,f(r)+j) | r ∈ R and j ∈ J} of R×S is called the amalgamation of R with S along J with respect to f.
In this paper, we generalize and improve recent results on the computation of the diameter of the zero-divisor graph of amalgamated algebras and obtain new results. In particular, we provide new characterizations for completeness of the zero-divisor graph of amalgamated algebra, as well as, a complete description for the diameter of the zero-divisor graph of amalgamations in the special case of finite rings.
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