论文标题
在预分组的分裂扩展方面
On split extensions of preordered groups
论文作者
论文摘要
我们研究了（pre）\ - 有序组的类别odgrp类别中的分裂扩展的行为。也就是说，我们表明词典秩序对半领产品的兼容订单的存在起着关键作用，为这种存在建立了必要和足够的条件。我们证明，分裂短五引血症可用于稳定的强大分裂扩展，并确定允许分类器的拆分扩展类别。
We investigate the behaviour of split extensions in the category OrdGrp of (pre)\-ordered groups. Namely we show that the lexicographic order plays a key role on the existence of compatible orders for semidirect products, establishing necessary and sufficient conditions for such existence; we prove that the Split Short Five Lemma holds for stably strong split extensions, and identify classes of split extensions which admit a classifier.
