论文标题
有限类别的简单半群
Simple semigroups in finite categories
论文作者
论文摘要
在本文中，我们将有限类别与两个对象进行了分类，使得内态的一个单体是一组。我们证明，在一侧有一个组会影响另一个内态的结构，并且我们证明它将包含一个简单的半群。我们还证明了另一个方向，如果我们有一个REES矩阵半群，我们可以使用两个对象构造一个类别，以便其中一个对象是组。
In this paper, we classify finite categories with two objects such that one of the endomorphism monoids is a group. We prove that having a group on one side affects the structure of the other endomorphism monoid, and we prove that it is going to contain a simple semigroup. We also prove the other direction, that if we have a Rees matrix semigroup we can construct a category with two objects such that one of the objects is a group.
