Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
394334 | Information Sciences | 2010 | 11 Pages |
Abstract
The aim of this paper is to present some ways of constructing a lattice ordered effect algebra from the given family of MV-algebras. The loop lemma of lattice ordered effect algebras is proved. Then the definitions of Greechie diagrams of effect algebras are given. All these results have generalized those of orthomodular lattices. As applications of loop lemma and Greechie diagrams, some lattice ordered effect algebras without states are presented.
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Yongjian Xie, Yongming Li, Aili Yang,