We introduce the notion of a hyper-atom and prove a basic property of this object. This new method allows to improve several results in the classical critical pair theory including its cornerstone: the Kemperman Structure Theorem.

中文翻译：

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超原子应用于临界对理论

我们引入了超原子的概念并证明了这个对象的基本属性。这种新方法可以改进经典临界对理论中的几个结果，包括其基石：肯珀曼结构定理。