Construction of Zero-Divisor Graph of a Hyperlattice with Respect to Hyperideals
نویسندگان
1 Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
2 Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
3 Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
4 Department of Chemistry, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
5 Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
doi
10.22052/ijmc.2024.253723.1774چکیده
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.
