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An exploration of
ideal-divisor graphs
Michael Axtell, Joe Stickles, Lane Bloome, Rob Donovan, Paul Milner, Hailee Peck, Abigail Richard and Tristan Williams
Vol. 8 (2015), No. 1, 87–98
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Abstract |
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Zero-divisor graphs have given some interesting insights into the behavior of commutative rings. Redmond introduced a generalization of the zero-divisor graph called an ideal-divisor graph. This paper expands on Redmond’s findings in an attempt to find additional information about the structure of commutative rings from ideal-divisor graphs. |
Keywords
commutative ring with identity, radical ideal, zero-divisor
graph, ideal-divisor graph
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Mathematical Subject Classification 2010
Primary: 13M05
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Milestones
Received: 19 February 2013
Revised: 25 June 2013
Accepted: 3 July 2013
Published: 10 December 2014
Communicated by Scott T. Chapman
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Authors |
| Michael Axtell | |
| Department of Mathematics University of St. Thomas St Paul, MN 55105 United States |
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| Joe Stickles | |
| Department of Mathematics Millikin University Decatur, IL 62522 United States |
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| Lane Bloome | |
| Department of Mathematics Millikin University Decatur, IL 62522 United States |
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| Rob Donovan | |
| Department of Mathematics and
Computer Science Worcester State College Worcester, MA 01602 United States |
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| Paul Milner | |
| Department of Mathematics University of St. Thomas St. Paul, MN 55105 United States |
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| Hailee Peck | |
| Department of Mathematics Millikin University Decatur, IL 62522 United States |
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| Abigail Richard | |
| Department of Mathematics Miami University Oxford, OH 45056 United States |
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| Tristan Williams | |
| Department of Mathematics University of Iowa Iowa City, IA 52242 United States |
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