abstract 69

Bulletin of Computational Applied Mathematics (Bull CompAMa)


Computation of prime hyperideals in meet hyperlattices

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

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 hyperideals in L. Furthermore, we interrelate with the weakly kappa hyperideals, where kappa belongs {prime, 2-absorbing, primary, 2-absorbing primary}, which proves that all these notions are completely determined as indicated in Fig.1. Also, we prove the homomorphism results on strong meet hyperlattices.

Keywords: Hyperlattices; hyperideals; prime hyperideals; 2-absorbing ideals.

Cite this paper:

Pallavi P., Kuncham S.P., Vadiraja G.R.B., Harikrishnan P.

Computation of prime hyperideals in meet hyperlattices

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 10, No.1, pp.33-58, 2022.