On reduced zero-divisor graphs of posets

Ashish Kumar Das; Deiborlang Nongsiang

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arXiv · 1311.6560

On reduced zero-divisor graphs of posets

Ashish Kumar Das·Deiborlang Nongsiang

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Abstract

In this paper we study some of the basic properties of a graph which is constructed from the equivalence classes of non-zero zero-divisors determined by 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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Ashish Kumar Das, Deiborlang Nongsiang. 2013-11-26. On reduced zero-divisor graphs of posets. https://arxiv.org/abs/1311.6560

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