28 research outputs found

    Idempotent semigroups and tropical algebraic sets

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    Decompositions of modules lacking zero sums

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    The third author thanks the University of Virginia mathematics department for its hospitality.Peer reviewedPostprin

    Singular Tropical Hypersurfaces

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    We study the notion of singular tropical hypersurfaces of any dimension. We characterize the singular points in terms of tropical Euler derivatives and we give an algorithm to compute all singular points. We also describe non-transversal intersection points of planar tropical curves

    Semigroup identities of tropical matrix semigroups of maximal rank

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    Supertropical matrix algebra II: Solving tropical equations

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