论文标题
在Auslander-Reiten Quiver上，用于部分有序集的代表类别
On the Auslander-Reiten quiver for the category of representations of partially ordered sets with an involution
论文作者
论文摘要
在本文中，我们描述了与某些posets的Auslander-Reiten Quiver，我们称之为类型$ \ Mathfrak {u} _n $和$ \ Mathfrak {u} _ \ infty $。这些POSET出现在Zavadskij的分化III中[12]。我们遵循Auslander，Reiten和Smalø[1]引起的古典Auslander-Reiten理论的方法。为此，我们为部分有序集的表示形式类别提供了自然的确切结构。我们描述了投影性和注入性表示
In this article we describe the Auslander-Reiten quiver for some posets with an involution, that we call types $\mathfrak{U}_n$ and $\mathfrak{U}_\infty$. These posets appear in the differentiation III of Zavadskij [12]. We follow the approach to classical Auslander-Reiten theory due to Auslander, Reiten and Smalø[1]. For this purpose, we give a natural exact structure for the category of representations of a partially ordered set with an involution. We describe the projective and injective representations
