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
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• Resumen

  • 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.