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In this paper, we introduce and study the concepts of prime left, semiprime left and irreducible left hyperideals in ternary semihypergroups and investigate some basic properties of them. We introduce the concepts of hyperfilter and hypersemilattice congruence of ternary semihypergroups. We give some characterizations of hyperfilters in ternary semihypergroups. Some relationships between hyperfilters, prime hyperideals and hypersemilattice congruences in ternary semihypergroups are considered.doi:10.1556/012.2017.54.3.1365 fatcat:atlniydcqnexddg5wtoocml25u