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Layered tropical mathematics

Izhakian, Zur ; Knebusch, Manfred ; Rowen, Louis



Zusammenfassung

Generalizing supertropical algebras, we present a "layered" structure, "sorted" by a semiring which permits varying ghost layers, and indicate how it is more amenable than the "standard" supertropical construction in factorizations of polynomials, description of varieties, and for mathematical analysis and calculus, in particular with respect to multiple roots of polynomials. This gives rise to a ...

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