Resumen de The diameter of the zero-divisor graph of an amalgamated algebra

Y. Azimi

• Let R and S be commutative rings with unity, ?:?→? a ring homomorphism and J an ideal of S. Then the subring ?⋈??:={(?,?(?)+?)∣?∈? and ?∈?} of ?×? 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.