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The pasting constructions of lattice ordered effect algebras
- Source :
-
Information Sciences . Jun2010, Vol. 180 Issue 12, p2476-2486. 11p. - Publication Year :
- 2010
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00200255
- Volume :
- 180
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Information Sciences
- Publication Type :
- Periodical
- Accession number :
- 49111072
- Full Text :
- https://doi.org/10.1016/j.ins.2010.02.013