Open AccessOn Reduced Zero-Divisor Graphs of Posets
Author(s) -
Ashish Kumar Das,
Deiborlang gsiang
Publication year - 2015
Publication title -
journal of discrete mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-9837
pISSN - 2090-9845
DOI - 10.1155/2015/736326
Subject(s) - annihilator , mathematics , partially ordered set , combinatorics , associated prime , zero divisor , graph , discrete mathematics , pure mathematics , prime (order theory) , algebra over a field
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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