分层系统的大小可以任意大
The size of a stratifying system can be arbitrarily large
摘要：
在这篇短文中，我们构造了代数模范畴中的大分层系统的两类例子。第一个例子包括在代数$A$的模范畴中的无限大小的分层系统。在第二个家庭的例子中，我们表明，有限维代数$A$的模范畴中的有限分层系统的大小可以是任意大的简单$A$ -模块的同构类的数量相比。我们注意到，这两个家庭的例子是建立在更高的同调代数使用良好的结果。
英文摘要：
In this short note we construct two families of examples of large stratifying systems in module categories of algebras. The first examples consists on stratifying systems of infinite size in the module category of an algebra $A$. In the second family of examples we show that the size of a finite stratifying system in the module category of a finite dimensional algebra $A$ can be arbitrarily large in comparison to the number of isomorphism classes of simple $A$-modules. We note that both families of examples are built using well-established results in higher homological algebra.
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