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Mathematica Slovaca

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Volume 67, Issue 4


Outer measure on effect algebras

Akhilesh Kumar Singh
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  • Department of Mathematics Jaypee Institute of Information Technology (Deemed University) Noida-201 304, Uttar Pradesh India
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Published Online: 2017-07-14 | DOI: https://doi.org/10.1515/ms-2017-0012


In the present paper, the notion of an outer measure m* on lattice ordered effect algebras L is introduced and investigated. Carathéodory’s criterion for the outer measure m* is given and established on L. Properties of an induced outer measure m* defined on a lattice ordered effect algebra L are studied and finally, Choquet theorem is proved for the induced outer measure m* on a σ-complete lattice ordered effect algebra L.

MSC 2010: Primary 06A11; 28A12; 28E99; 06C15

Keywords: outer measure; Carathéodory’s theorem; Choquet lemma; effect algebras


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About the article

Received: 2015-05-30

Accepted: 2015-09-03

Published Online: 2017-07-14

Published in Print: 2017-08-28

Citation Information: Mathematica Slovaca, Volume 67, Issue 4, Pages 811–818, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0012.

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