Note on ideals of effect algebras

Authors:
ZhiHao Ma
Affiliations:
Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, PR China
Venue:
Information Sciences: an International Journal
Year:
2009

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The pasting constructions of lattice ordered effect algebras

Information Sciences: an International Journal

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Abstract

We show that in a lattice effect algebra, each lattice ideal is an effect algebra ideal if and only if the lattice effect algebra is an orthomodular lattice.