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Complemented zero-divisor graphs and Boolean rings
- Source :
-
Journal of Algebra . Sep2007, Vol. 315 Issue 2, p600-611. 12p. - Publication Year :
- 2007
-
Abstract
- Abstract: For a commutative ring R, the zero-divisor graph of R is the graph whose vertices are the nonzero zero-divisors of R such that the vertices x and y are adjacent if and only if . In this paper, we classify the zero-divisor graphs of Boolean rings, as well as those of Boolean rings that are rationally complete. We also provide a complete list of those rings whose zero-divisor graphs have the property that every vertex is either an end or adjacent to an end. [Copyright &y& Elsevier]
- Subjects :
- *BOOLEAN algebra
*MATHEMATICS
*ALGEBRAIC logic
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 315
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 26246367
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2006.12.030