Meet-nonessential graph of an Artinian lattice

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Mathematical Sciences, Guilan University, Guilan, Iran

Abstract

Let L be a lattice with 1. The meet-nonessential graph MG(L) of L is a graph whose vertices are all nonessential filters of L and two distinct filters F and G are adjacent if and only if F∧G is a nonessential filter of L. The basic properties and possible structures of the graph MG(L) are investigated. The clique number, domination number and independence number of MG(L) and their relations to algebraic properties of L are explored.
 

Keywords

References

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Algebraic Structures and Their Applications
Volume 12, Issue 1
February 2025
Pages 51-63

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