On reduced zero-divisor graphs of posets
Commutative Algebra
2013-11-27 v1 Combinatorics
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.
Cite
@article{arxiv.1311.6560,
title = {On reduced zero-divisor graphs of posets},
author = {Ashish Kumar Das and Deiborlang Nongsiang},
journal= {arXiv preprint arXiv:1311.6560},
year = {2013}
}
Comments
12 pages