群的分解和Top对
Decomposition of groups and Top couples
摘要：
最近，我们赋予各种类别的群体与拓扑。本文的目的是介绍这些类别的其他拓扑结构是统计更适合研究著名的问题组理论。我们使用这个框架来定义一个素理想的概念，并提供了一个大类的群分解成一个产品的素备注，类似的问题已经研究了在[5]由仓田无辜的方法。我们注意到这些拓扑可以推广到其它的范畴，如交换代数，结合代数和左对称代数。
英文摘要：
Recently, we have endowed various categories of groups with topologies. The purpose of this paper is to introduce on these categories others topologies which are statistically more suitable to study well-known problems in groups theory. We use this framework to define a notion of prime ideal and to provide a decomposition of a large class of groups into a product of prime Remark that a similar question has been studied in [5] by Kurata with innocent methods. We remark that these topologies can be extended to other categories like the categories of commutative algebras, associative algebras and left symmetric algebras.
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