A note on the zero divisor graph of a lattice

Let $L$ be a lattice with the least element $0$. An element $xin L$ is a zero divisor if $xwedge y=0$ for some $yin L^*=Lsetminus left{0right}$. The set of all zero divisors is denoted by $Z(L)$. We associate a simple graph $Gamma(L)$ to $L$ with vertex set $Z(L)^*=Z(L)setminus left{0right}$, the se...

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Bibliographic Details
Main Authors: T. Tamizh Chelvam, S. Nithya
Format: Article
Language:English
Published: University of Isfahan 2014-09-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://www.combinatorics.ir/pdf_5626_80f88a878c7d9f2b5f4422c943a90ae7.html