The Zero-Divisor Graph of a Lattice
Year
: 2012
Abstract: For a finite bounded lattice £, we associate a zero-divisor graph
G(£) which is a natural generalization of the concept of zero-divisor graph
for a Boolean algebra. Also, we study the interplay of lattice-theoretic
properties of £ with graph-theoretic properties of G(£).
G(£) which is a natural generalization of the concept of zero-divisor graph
for a Boolean algebra. Also, we study the interplay of lattice-theoretic
properties of £ with graph-theoretic properties of G(£).
Keyword(s): Zero-divisor graph,lattice,atom in a lattice
Collections
:
-
Statistics
The Zero-Divisor Graph of a Lattice
Show full item record
| contributor author | احسان استاجی | en |
| contributor author | کاظم خشیارمنش | en |
| contributor author | Ehsan Estaji | fa |
| contributor author | Kazem Khashyarmanesh | fa |
| date accessioned | 2020-06-06T13:12:18Z | |
| date available | 2020-06-06T13:12:18Z | |
| date issued | 2012 | |
| identifier uri | http://libsearch.um.ac.ir:80/fum/handle/fum/3345778 | |
| description abstract | For a finite bounded lattice £, we associate a zero-divisor graph G(£) which is a natural generalization of the concept of zero-divisor graph for a Boolean algebra. Also, we study the interplay of lattice-theoretic properties of £ with graph-theoretic properties of G(£). | en |
| language | English | |
| title | The Zero-Divisor Graph of a Lattice | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Zero-divisor graph | en |
| subject keywords | lattice | en |
| subject keywords | atom in a lattice | en |
| journal title | Results in Mathematics | en |
| journal title | Results in Mathematics | fa |
| pages | 11-Jan | |
| journal volume | 61 | |
| journal issue | 1 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1033834.html | |
| identifier articleid | 1033834 |