论文标题
potitivstellensätze，用于半决赛
Positivstellensätze for Semirings
论文作者
论文摘要
在本文中，我们开发了许多有关阳性的结果和概念，以供拟合Unialital真实代数的半半数（预段）。首先，我们将Archimedean Potivstellensatz减少到半二次模块的相应结果。研究了Archimedean Potivstellensatz在半段中的各种应用。证明了具有分母的一般阳性stellensatz，用于具有半肌的过滤代数。作为一种应用，我们得出了无分解阳性的阳性stellensatz，用于用阿基米德半序的代数的圆柱延伸。给出了大量的说明示例。
In this paper we develop a number of results and notions concerning Positivstellensätze for semirings (preprimes) of commutative unital real algebras. First we reduce the Archimedean Positivstellensatz for semirings to the corresponding result for quadratic modules. Various applications of the Archimedean Positivstellensatz for semirings are investigated. A general Positivstellensatz with denominators is proved for filtered algebras with semirings. As an application we derive a denominator-free Positivstellensatz for the cylindrical extension of an algebra with Archimedean semiring. A large number of illustrating examples are given.
