Abstract
Let R and S be commutative rings with unity, \(f:R\rightarrow S\) a ring homomorphism and J an ideal of S. Then the subring \(R\bowtie ^fJ:=\{(r,f(r)+j)\mid r\in R\) and \(j\in J\}\) of \(R\times S\) 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 characterize the diameter of the zero-divisor graph of amalgamated duplication.
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The author is grateful to the referee for careful reading of the original manuscript and valuable suggestions.
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Azimi, Y. The diameter of the zero-divisor graph of an amalgamated algebra. Collect. Math. 70, 399–405 (2019). https://doi.org/10.1007/s13348-018-0236-8
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DOI: https://doi.org/10.1007/s13348-018-0236-8