EQ-代数的广义态

The Generalized States of EQ-algebras

本文对EQ-代数上的广义态进行讨论。分别在EQ-代数上引入了Ⅰ型广义Bosbach态,Ⅱ型广义Bosbach态以及广义Riecan态的定义。讨论了不同EQ-代数上Ⅰ型广义Bosbach态与Ⅱ型广义Bos-bach态的等价刻画并研究了这些广义态的性质以及它们之间的关系。

The main goal of this paper is to investigate the generalized states of EQ-algebras.The notions of,type I generalized Bosbach states,type Ⅱ generalized Bosbaeh states and generalized Riecan states are introduced.The equivalent characterizations of type I Bosbach states and type Ⅱ Bosbach states of different EQ-algebras are given.The properties of these generalized states and the relation-ship between them are discussed.