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An Ideal-Based Zero-Divisor Graph of a Commutative Ring

โœ Scribed by Redmond, Shane P.


Book ID
118158079
Publisher
Taylor and Francis Group
Year
2003
Tongue
English
Weight
710 KB
Volume
31
Category
Article
ISSN
0092-7872

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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.