论文标题
双重分配偏斜高场和严格的高组的分类
Classification of doubly distributive skew hyperfields and stringent hypergroups
论文作者
论文摘要
如果$ a \ boxplus b $是单身人士，则每当$ a \ neq -b $是单身人士，则高度组非常严格。如果基础添加剂组为，那么Hyperfield是严格的。每个双重分配偏差Hyperfield都很严格，但反之亦然。我们提出了严格的超级组的分类，随后将对双重分布偏差超场进行分类。根据我们的分类，每个这样的超场都是偏斜领域的商。
A hypergroup is stringent if $a \boxplus b$ is a singleton whenever $a \neq -b$. A hyperfield is stringent if the underlying additive hypergroup is. Every doubly distributive skew hyperfield is stringent, but not vice versa. We present a classification of stringent hypergroups, from which a classification of doubly distributive skew hyperfields follows. It follows from our classification that every such hyperfield is a quotient of a skew field.
