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

• Autores: Y. Azimi
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 70, Fasc. 3, 2019, págs. 399-405
• Idioma: inglés
• DOI: 10.1007/s13348-018-0236-8
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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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