论文标题
定量，纯元素和新传输特性的网状
Reticulation of a quantale, pure elements and new transfer properties
论文作者
论文摘要
我们从以前的论文中知道，连贯的量子$ a $的网状是有界的分布晶格$ l（a）$，其质谱是同型$ m $ $ a $ a $的同质频谱。在本文中，我们将通过网状$ l（a）$来证明量子$ a $的纯元素。我们将研究$ l（a）$的$σ$的属性如何转移到$ a $的纯元素中。然后，$ a $的纯元素用于获得一些重要类别类别的新属性和表征定理：普通量化，$ MP $ - 量子，$ PF $ - 量子，纯化的量子和$ pp $ - 量子。
We know from a previous paper that the reticulation of a coherent quantale $A$ is a bounded distributive lattice $L(A)$ whose prime spectrum is homeomorphic to $m$ - prime spectrum of $A$. In this paper we shall prove several results on the pure elements of the quantale $A$ by means of the reticulation $L(A)$. We shall investigate how the properties of $σ$ - ideals of $L(A)$ can be transferred to pure elements of $A$. Then the pure elements of $A$ are used to obtain new properties and characterization theorems for some important classes of quantales: normal quantales, $mp$ - quantales, $PF$ - quantales, purified quantales and $PP$ - quantales.
