@inbook{203c845b24f84cfabee9d32ea4660740,
title = "Categorical notions of layered tropical algebra and geometry",
abstract = "This paper supplements [17], showing that categorically the layered theory is the same as the theory of ordered monoids (e.g. the max-plus algebra) used in tropical mathematics. A layered theory is developed in the context of categories, together with a {"}tropicalization functor{"} which permits us to pass from usual algebraic geometry to the tropical world. We consider tropical varieties from this categorical viewpoint, with emphasis on polynomial functions and their roots.",
author = "Zur Izhakian and Manfred Knebusch and Louis Rowen",
year = "2013",
doi = "10.1090/conm/589/11746",
language = "American English",
volume = "589",
series = "Contemp. Math.",
publisher = "Amer. Math. Soc., Providence, RI",
pages = "191--234",
booktitle = "Algebraic and combinatorial aspects of tropical geometry",
}