计算机工程与应用 ›› 2013, Vol. 49 ›› Issue (13): 5-7.

• 博士论坛 • 上一篇    下一篇

效应代数成为布尔代数的充要条件

李海洋   

  1. 西安工程大学 理学院,西安 710048
  • 出版日期:2013-07-01 发布日期:2013-06-28

Necessary and sufficient condition which effect algebra becomes Boole algebra

LI Haiyang   

  1. School of Science, Xi’an Polytechnic University, Xi’an 710048, China
  • Online:2013-07-01 Published:2013-06-28

摘要: 通过效应代数中的中心元引入效应代数中的Well Inside 关系,研究了效应代数中的Well Inside关系的性质;在此基础上得出了效应代数成为布尔代数的一个充要条件。

关键词: 效应代数, 布尔代数, Well Inside关系

Abstract: The relationship of Well Inside in effect algebra is introduced by the center elements of effect algebra, and the properties of the relationship of Well Inside are studied. Based on the relationship of Well Inside, a necessary and sufficient condition which effect algebra becomes Boole algebra has been obtained.

Key words: effect algebra, Boole algebra, relationship of Well Inside