论文标题
Schreier拆分预订的单体
Schreier split extensions of preordered monoids
论文作者
论文摘要
研究了预排序的单体的特性,并研究了此类结构的重要子类。预排序单体类别的相应完整子类别在它们之间以及与预分组集和单粒子的类别之间有效相关。 Schreier拆分扩展在预定的单体的完整子类别中描述,其预订由相应的阳性锥体确定。
Properties of preordered monoids are investigated and important subclasses of such structures are studied. The corresponding full subcategories of the category of preordered monoids are functorially related between them as well as with the categories of preordered sets and monoids. Schreier split extensions are described in the full subcategory of preordered monoids whose preorder is determined by the corresponding positive cone.