A Tropical Nullstellensatz
ثبت نشده
چکیده
We suggest a version of Nullstellensatz over the tropical semiring, the real numbers equipped with operations of maximum and summation.
منابع مشابه
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.
متن کاملar 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.
متن کاملTropical Algebraic Sets, Ideals and an Algebraic Nullstellensatz
This paper introduces the foundations of the polynomial algebra and basic structures for algebraic geometry over the extended tropical semiring. Our development, which includes the tropical version for the fundamental theorem of algebra, leads to the reduced polynomial semiring – a structure that provides a basis for developing a tropical analogue to the classical theory of commutative algebra....
متن کاملA Tropical Nullstellensatz
We suggest a version of Nullstellensatz over the tropical semiring, the real numbers equipped with operations of maximum and summation.
متن کاملTropical Effective Primary and Dual Nullstellensätze
Tropical algebra is an emerging field with a number of applications in various areas of mathematics. In many of these applications appeal to tropical polynomials allows to study properties of mathematical objects such as algebraic varieties and algebraic curves from the computational point of view. This makes it important to study both mathematical and computational aspects of tropical polynomi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005