Zero-divisor ideals and realizable zero-divisor graphs
Copyright policy ) Axtell, Michael; Stickles, Joe; Trampbachls, Wallace;
Zero-divisor ideals and realizable zero-divisor graphs
We seek to classify the sets of zero-divisors that form ideals based on their zero-divisor graphs. We offer full classification of these ideals within finite commutative rings with identity. We also provide various results concerning the realizability of a graph as a zero-divisor graph. 1. Definitions and notation
United States
- University of St. Thomas - Texas United States
- St. Thomas University Canada
- University of Minesota United States
- Millikin University United States
commutative ring, finite commutative rings, zero-divisor, graph, Mathematics, 13A99
commutative ring, finite commutative rings, zero-divisor, graph, Mathematics, 13A99
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selected citations
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 16
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