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Posets Dismantlable by Doubly Irreducibles
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In this paper, we introduce the concept of a poset dismantlable by doubly irreducibles. We also introduce the operations, `1-sum' and `2-sum' of posets. Using these operations, we obtain the structure theorem for posets dismantlable by doubly irreducibles, which generalizes the structure theorem for dismantlable lattices.
Keywords
Chain, Lattice, Poset, Doubly irreducible element
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