Title of article
Construction of Zero-Divisor Graph of a Hyperlattice with Respect to Hyperideals
Author/Authors
Panjarike ، Pallavi Department of Mathematics - Manipal Institute of Technology - Manipal Academy of Higher Education , Prasad ، Kuncham Syam Department of Mathematics - Manipal Institute of Technology - Manipal Academy of Higher Education , Srinivasulu ، Maddasani Department of Chemistry - Manipal Institute of Technology - Manipal Academy of Higher Education , Bhatta ، Vadiraja Department of Mathematics - Manipal Institute of Technology - Manipal Academy of Higher Education , Panackal ، Harikrishnan Department of Mathematics - Manipal Institute of Technology - Manipal Academy of Higher Education
From page
123
To page
135
Abstract
In this paper, we define the zero-divisor graph of a meet-hyperlattice with respect to a hyperideal. We prove the diameter of a P-hyperlattice and Nakano hyperlattice are at most 3 and 4 respectively. We obtain that the zero-divisor graph with respect to the intersection of two prime hyperideals is complete bipartite. We prove certain properties of these zero-divisor graphs with suitable examples.
Keywords
Hyperlattice , Hyperideal , Complete bipartite graph
Journal title
Iranian Journal of Mathematical Chemistry
Journal title
Iranian Journal of Mathematical Chemistry
Record number
2775050
Link To Document