态格效应代数及其基本性质

State Lattice Effect Algebras and Its Basic Properties

本文研究了格效应代数上有关态算子的问题。利用MV-代数上内态的引入方法在格效应代数上引入了态算子,定义了态格效应代数,态射格效应代数,并讨论了态格效应代数和态射格效应代数的一些基本性质及二者间的联系。

In the paper,the problems of the state operators on lattice effect algebras are studied.By using the method of internal states on MV-algebras,the state operators are introduced on lattice effect algebras,by which the state lattice effect algebras and state-morphism lattice effect algebras,some basic properties and the connection between state lattice effect algebras and state-morphism lattice effect algebras are investigated.