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
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
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This is an overview article on finite-dimensional algebras and quivers, written for the Encyclopedia of Mathematical Physics. We cover path algebras, Ringel-Hall algebras and the quiver varieties of Lusztig and Nakajima.
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Date: May 15, 2006. 2000 Mathematics Subject Classification. Primary 17B25.
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