Computation of prime hyperideals in meet hyperlattices

Panjarike Pallavi, Syam Prasad Kuncham, Gopadi Ramachandra Bhatta Vadiraja, Panackal Harikrishnan

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)33-58
Number of pages26
JournalBulletin of Computational Applied Mathematics
Volume10
Issue number1
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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