TY - JOUR

T1 - Computation of prime hyperideals in meet hyperlattices

AU - Pallavi, Panjarike

AU - Kuncham, Syam Prasad

AU - Vadiraja, Gopadi Ramachandra Bhatta

AU - Harikrishnan, Panackal

N1 - Publisher Copyright:
© 2022, Universidad Simon Bolivar. All rights reserved.

PY - 2022

Y1 - 2022

N2 - We define the concept of 2-absorbing hyperideal in a strong meet hyperlattice denoted by L, as a generalization of 2-absorbing ideal in a classical lattice. We compute the hyperideals those are, viz. 2-absorbing but not prime; primary but not prime; weakly 2-absorbing primary but not weakly primary, etc., which indicates that all these classes are different and generalize the respective notions of a classical lattice. We prove several properties of 2-absorbing hyperideals and annihilator hyper-ideals in L. Furthermore, we interrelate with the weakly κ hyperideals, where κ ∈ {prime, 2-absorbing, primary, 2-absorbing primary}, which proves that all these notions are completely determined as indicated in Figure 8. Also, we prove the homomorphism results on strong meet hyperlattices.

AB - We define the concept of 2-absorbing hyperideal in a strong meet hyperlattice denoted by L, as a generalization of 2-absorbing ideal in a classical lattice. We compute the hyperideals those are, viz. 2-absorbing but not prime; primary but not prime; weakly 2-absorbing primary but not weakly primary, etc., which indicates that all these classes are different and generalize the respective notions of a classical lattice. We prove several properties of 2-absorbing hyperideals and annihilator hyper-ideals in L. Furthermore, we interrelate with the weakly κ hyperideals, where κ ∈ {prime, 2-absorbing, primary, 2-absorbing primary}, which proves that all these notions are completely determined as indicated in Figure 8. Also, we prove the homomorphism results on strong meet hyperlattices.

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M3 - Article

AN - SCOPUS:85135214418

SN - 2244-8659

VL - 10

SP - 33

EP - 58

JO - Bulletin of Computational Applied Mathematics

JF - Bulletin of Computational Applied Mathematics

IS - 1

ER -