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Outer measure on effect algebras

  • Akhilesh Kumar Singh EMAIL logo
Published/Copyright: July 14, 2017
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 67 Issue 4

Abstract

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

(Communicated by Mirko Navara)

Acknowledgement

Author is thankful to Reviewers for their valuable suggestions towards the improvement of the paper.

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Received: 2015-5-30
Accepted: 2015-9-3
Published Online: 2017-7-14
Published in Print: 2017-8-28

© 2017 Mathematical Institute Slovak Academy of Sciences

Articles in the same Issue

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  4. Hamiltonian ordered algebras and congruence extension
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  10. Abundant semigroups with a *-normal idempotent
  12. Stability results for fractional differential equations with state-dependent delay and not instantaneous impulses
  14. Monotonicity results for delta fractional differences revisited
  16. M-Cantorvals of Ferens type
  18. Comparison of ψ-porous topologies
  20. On certain generalized matrix methods of convergence in (ℓ)-groups
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  26. Nonoscillation and exponential stability of the second order delay differential equation with damping
  28. Positive solutions of perturbed nonlinear hammerstein integral equation
  30. Ricci solitons on 3-dimensional cosymplectic manifolds
  32. Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups
  34. The super socle of the ring of continuous functions
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https://doi.org/10.1515/ms-2017-0012
Keywords for this article
outer measure; Carathéodory’s theorem; Choquet lemma; effect algebras

Articles in the same Issue

  2. Outer measure on effect algebras
  4. Hamiltonian ordered algebras and congruence extension
  6. Automorphism groups with some finiteness conditions
  8. Only finitely many Tribonacci Diophantine triples exist
  10. Abundant semigroups with a *-normal idempotent
  12. Stability results for fractional differential equations with state-dependent delay and not instantaneous impulses
  14. Monotonicity results for delta fractional differences revisited
  16. M-Cantorvals of Ferens type
  18. Comparison of ψ-porous topologies
  20. On certain generalized matrix methods of convergence in (ℓ)-groups
  22. Some applications of first-order differential subordinations
  24. Hankel determinant for a class of analytic functions involving conical domains defined by subordination
  26. Nonoscillation and exponential stability of the second order delay differential equation with damping
  28. Positive solutions of perturbed nonlinear hammerstein integral equation
  30. Ricci solitons on 3-dimensional cosymplectic manifolds
  32. Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups
  34. The super socle of the ring of continuous functions
  36. On the internal approach to differential equations 2. The controllability structure
  38. Finiteness of the discrete spectrum in a three-body system with point interaction
  40. On a subclass of Bazilevic functions
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