Rings with Commuting Nilpotents and Zero Divisors
โ Scribed by Abraham A. Klein; Howard E. Bell
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 223 KB
- Volume
- 51
- Category
- Article
- ISSN
- 1422-6383
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For each commutative ring R we associate a simple graph โซ R . We investigate the interplay between the ring-theoretic properties of R and the graph-theo-ลฝ . retic properties of โซ R .
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.
Among other things we prove that the integral closure of a Marot ring whose regular ideals are finitely generated is a Krull ring. I: 1993 Academic Press. Inc.