๐”– Bobbio Scriptorium
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Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph

โœ Scribed by David F. Anderson; John D. LaGrange


Book ID
113740273
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
298 KB
Volume
216
Category
Article
ISSN
0022-4049

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๐Ÿ“œ SIMILAR VOLUMES


The Zero-Divisor Graph of a Commutative
โœ David F. Anderson; Philip S. Livingston ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB

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

On the zero-divisor graph of a commutati
โœ S. Akbari; A. Mohammadian ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 192 KB

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