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A note on zero-divisors of commutative rings

✍ Scribed by M. Filipowicz, M. Kȩpczyk

Book ID
113112310
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
224 KB
Volume
1
Category
Article
ISSN
2193-5343

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On the zero-divisor graph of a commutati
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✍ S. Akbari; A. Mohammadian 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 192 KB

Let R be a commutative ring and Γ (R) be its zero-divisor graph. In this paper it is shown that for any finite commutative ring R, the edge chromatic number of Γ (R) is equal to the maximum degree of Γ (R), unless Γ (R) is a complete graph of odd order. In [D.F.

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✍ David F. Anderson; Philip S. Livingston 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 121 KB

For each commutative ring R we associate a simple graph ⌫ R . We investigate the interplay between the ring-theoretic properties of R and the graph-theo-Ž . retic properties of ⌫ R .