“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 16314
School of Mathematics
  Title:   The zero-divisor graph of an amalgamated algebra
  Author(s): 
1.  Yusof Azimi
2.  Mohammad Reza Doustimehr
  Status:   To Appear
  Journal: Rend. Circ. Mat. Palermo
  Supported by:  IPM
  Abstract:
Let R and S be commutative rings with identity, f:RS a ring homomorphism and J an ideal of S. Then the subring R\bowtiefJ:={(r,f(r)+j) | rR and jJ} of R×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 provide new characterizations for completeness of the zero-divisor graph of amalgamated algebra, as well as, a complete description for the diameter of the zero-divisor graph of amalgamations in the special case of finite rings.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right