Zero-divisor graphs of amalgamations

• Salah-Eddine Kabbaj ^[1] ; Abdeslam Mimouni ^[1]
  1. [1] King Fahd University of Petroleum and Minerals

     King Fahd University of Petroleum and Minerals

     Arabia Saudí

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 123, Nº 2, 2018, págs. 174-190
• Idioma: inglés
• DOI: 10.7146/math.scand.a-105307
• Texto completo no disponible (Saber más ...)
• Resumen

  • Letf:A→Bbe a homomorphism of commutative rings and letJbe an ideal ofB.TheamalgamationofAwithBalongJwith respect tofis the subring ofA×Bgiven by AfJ:={(a, f (a)+j)|a∈A, j∈J}.

    This paper investigates the zero-divisor graph of amalgamations. Our aim is to characterize whenthe graph is complete and compute its diameter and girth for various contexts of amalgamations.The new results recover well-known results on duplications, and yield new and original examplesissued from amalgamations.