On reduced zero-divisor graphs of posets (Q275664)
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scientific article; zbMATH DE number 6573810
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On reduced zero-divisor graphs of posets |
scientific article; zbMATH DE number 6573810 |
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On reduced zero-divisor graphs of posets (English)
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26 April 2016
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Summary: We study some properties of a graph which is constructed from the equivalence classes of nonzero zero-divisors determined by the annihilator ideals of a poset. In particular, we demonstrate how this graph helps in identifying the annihilator prime ideals of a poset that satisfies the ascending chain condition for its proper annihilator ideals.
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annihilator ideals of a poset
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