JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 5, Pages 603 - 618
(October 2017) http://dx.doi.org/10.17654/NT039050603 |
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THE DIAMETER OF THE ZERO-DIVISOR GRAPH OF THE IDEALIZATION OF THE RING R IN R
H. Shojaei and F. Rahmati
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Abstract: Let R be a commutative ring with identity. We consider the idealization of R in R, i.e., the ring and explain the relationship between and In this paper, it is proved that R is an integral domain if and only if is a complete graph and also, we show that by starting with either or
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Keywords and phrases: commutative ring, zero-divisor, zero-divisor graph, diameter, idealization. |
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