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Paper IPM / M / 16314  


Abstract:  
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\bowtie^{f}J:={(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 zerodivisor graph of amalgamated algebras and obtain new results. In particular, we provide new characterizations for completeness of the zerodivisor graph of amalgamated algebra, as well as, a complete description for the diameter of the zerodivisor graph of amalgamations in the special case of finite rings.
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