Tropical Varieties, Ideals and an Algebraic Nullstellensatz
نویسنده
چکیده
The objective of this paper is to introduce the fundamental algebro-geometric constructions over the extended tropical semi-ring. The study of tropical varieties, co-varieties and ideals over this extension eventually yields the theorem of the weak tropical Nullstellensatz and gives an algebraic interpretation of the tropical Nullstellensatz.
منابع مشابه
ar X iv : m at h / 05 11 05 9 v 2 [ m at h . A C ] 8 M ay 2 00 6 Tropical Varieties , Ideals and An Algebraic Nullstellensatz
The objective of this paper is to introduce the fundamental algebro-geometric constructions over the extended tropical semi-ring. The study of tropical varieties, co-varieties and ideals over this extension eventually yields the theorem of the weak tropical Nullstellensatz and gives an algebraic interpretation of the tropical Nullstellensatz.
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