On Prime Hyperfilters (Hyperideals) in ^-Hyperlattices

Mohsen Amiri Bideshki, Reza Ameri, Arsham Broomand Saeid

Abstract

In this paper, we introduce the notions of strong ” ∧ ”-hyperlattices, hyperideals and hyperfilters in strong ”∧”-hyperlattices. Also, we give equivalence conditions for prime hyperfilters (hyperideal) in strong ∧-hyperlattices. Distributivity (dual distributivity) in ”∧”-hyperlattices,IA-hyperideals and prime hyperfilters in strong ” ∧ ”-hyperlattices are investigated.

Keywords

Meet-hyperlattice, Strong meet-hyperlattice, Prime hyperideal, Prime hyperfilter, good complemented

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