Construction of Zero-Divisor Graph of a Hyperlattice with Respect to Hyperideals
نوع مدرک
TextResearch Paper
زبان مدرک
Englishچکیده
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.
کلید واژگان
HyperlatticeHyperideal
Complete bipartite graph
Combinatorics
شماره نشریه
3تاریخ نشر
2024-09-011403-06-11
ناشر
University of Kashanسازمان پدید آورنده
Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, IndiaDepartment of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
Department of Chemistry, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
شاپا
2228-64892008-9015
