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...
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 |
Similar Items
-
Crosscap of the ideal based zero-divisor graph
by: T. Tamizh Chelvam, et al.
Published: (2016-01-01) -
Distributive lattices and some related topologies in comparison with zero-divisor graphs
by: Saeid Bagheri, et al.
Published: (2021-01-01) -
Distances in zero-divisor and total graphs from commutative rings–A survey
by: T. Tamizh Chelvam, et al.
Published: (2016-12-01) -
Total graph of a $0$-distributive lattice
by: Shahabaddin Ebrahimi Atani, et al.
Published: (2018-07-01) -
The annihilator graph of a 0-distributive lattice
by: Saeid Bagheri, et al.
Published: (2018-09-01)