On the diameter and girth of a zero-divisor graph, II

• Autores: David F. Anderson
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 2, 2008, págs. 361-372
• Idioma: inglés
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• Resumen

  • The zero-divisor graph of a commutative ring R has the set of nonzero zero-divisors of R as its set of vertices, and two distinct vertices x and y are adjacent if and only if xy = 0. Let A be a subring of a commutative ring B. In this paper, we study the relationship between the diameters (resp., girths) of the zero-divisor graphs of A and B.