On Prime Hyperfilters (Hyperideals) in ^-Hyperlattices
DOI:
https://doi.org/10.29020/nybg.ejpam.v11i1.2660Keywords:
Meet-hyperlattice, Strong meet-hyperlattice, Prime hyperideal, Prime hyperfilter, good complementedAbstract
In this paper, we introduce the notions of strong †∧ â€-hyperlattices, hyperideals and hyperfilters in strong â€âˆ§â€-hyperlattices. Also, we give equivalence conditions for prime hyperfilters (hyperideal) in strong ∧-hyperlattices. Distributivity (dual distributivity) in â€âˆ§â€-hyperlattices,IA-hyperideals and prime hyperfilters in strong †∧ â€-hyperlattices are investigated.
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