TY - JOUR
T1 - Construction of Zero-Divisor Graph of a Hyperlattice with Respect to Hyperideals
AU - Panjarike, Pallavi
AU - Prasad, Kuncham Syam
AU - Srinivasulu, Maddasani
AU - Bhatta, Vadiraja
AU - Panackal, Harikrishnan
N1 - Publisher Copyright:
© 2024 University of Kashan Press. All rights reserved.
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
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U2 - 10.22052/IJMC.2024.253723.1774
DO - 10.22052/IJMC.2024.253723.1774
M3 - Article
AN - SCOPUS:85203072010
SN - 2228-6489
VL - 15
SP - 123
EP - 135
JO - Iranian Journal of Mathematical Chemistry
JF - Iranian Journal of Mathematical Chemistry
IS - 3
ER -