Rådström消去定理在Cornets上的推广
An extension of the Rådström Cancellation Theorem to Cornets
摘要：
本文的目的是引进角形群的概念，它形成了一个特殊的子类的有序半群也配备了一个乘法的自然数。最重要的标准例子是一个向量空间的非空子集和非空模糊子集的家庭。在一个角形中，元素的凸性、非负性、阿基米德性、有界性、闭性都可以很自然地定义。建立了与这些概念相关的基本性质。主要结果扩展了Rådström在1952年发现的抵消原理。
英文摘要：
The aim of this paper is to introduce the notion of cornets, which form a particular subclass of ordered semigroups also equipped with a multiplication by natural numbers. The most important standard examples for cornets are the families of the nonempty subsets and the nonempty fuzzy subsets of a vector space. In a cornet, the convexity, nonnegativity, Archimedean property, boundedness, closedness of an element can be defined naturally. The basic properties related to these notions are established. The main result extends the Cancellation Principle discovered by Rådström in 1952.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
