Zero-divisor graphs of amalgamated duplication of a ring along an ideal

Details Zero-divisor graphs of amalgamated duplication of a ring along an ideal Zero-divisor graphs of amalgamated duplication of a ring along an ideal

2007-01-23

arxiv.org/abs/math/0701631v1

Mathematics

Combinatorics

9 pages

Scientific paper

Let $R$ be a commutative ring with identity and let $I$ be an ideal of $R$.
Let $R\Join I$ be the subring of $R\times R$ consisting of the elements
$(r,r+i)$ for $r\in R$ and $i\in I$. We study the diameter and girth of the
zero-divisor graph of the ring $R\Join I$.

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