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INDECOMPOSABILITY GRAPHS OF RINGS
Published online by Cambridge University Press: 01 February 2008
Abstract
We define a subgraph of the zero divisor graph of a ring, associated to the ring idempotents. We study its properties and prove that for large classes of rings the connectedness of the graph is equivalent to the indecomposability of the ring and in those cases we also calculate the graph’s diameter.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 77 , Issue 1 , February 2008 , pp. 151 - 159
- Copyright
- Copyright © Australian Mathematical Society 2008
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