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- Title
ON THE CENTER OF ZERO-DIVISOR AND IDEAL-DIVISOR GRAPHS OF FINITE COMMUTATIVE RINGS.
- Authors
BLOOME, LANE; PECK, HAILEE
- Abstract
This paper is concerned with investigating the center and radius of zero-divisor and ideal-divisor graphs of finite commutative rings. In particular, we examine the interplay between the center and cut-sets of zero-divisor graphs. Of interest are conditions that need to be met in order for either of these sets to contain the other. We then explore the radius and central sets of ideal-divisor graphs, particularly the classification of the center via radius results.
- Subjects
ZERO (The number); DIVISOR theory; CATEGORIES (Mathematics); GRAPH theory; FINITE rings; COMMUTATIVE rings; RADIUS (Geometry); RING theory
- Publication
Journal of Algebra & Its Applications, 2014, Vol 13, Issue 5, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498813501612