Pseudo difference posets and pseudo boolean D-posets

被引：15
|
作者：
Shang, Y [1 ]
Li, YM
Chen, MY
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[2] Tsing Hua Univ, Dept Automat, Beijing 100084, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2004年 / 43卷 / 12期
基金：
中国国家自然科学基金;
关键词：
pseudo difference posets; pseudo boolean D-posets; MV-algebras; D-ideals;
D O I：
10.1007/s10773-004-7710-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The definitions of pseudo difference posets, pseudo boolean D-posets, and D-ideals are introduced. It is proved that pseudo difference posets are algebraically equivalent to pseudo effect algebras and pseudo boolean D-posets are algebraically equivalent to pseudo MV-algebras. In pseudo difference lattices, a D-ideal is equal to a Riesz ideal. At the same time, some good properties are obtained.
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页码：2447 / 2460
页数：14
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