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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Decomposition theorems in orthomodular posets:
the problem of uniqueness

Author: Anna De Simone
Journal: Proc. Amer. Math. Soc. 126 (1998), 2919-2926
MSC (1991): Primary 28A60, 06C15
MathSciNet review: 1452800
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Abstract: We provide some conditions which are equivalent to the uniqueness of Hewitt-Yosida-type decomposition and Lebesgue-type decomposition for real valued additive functions defined on orthomodular posets.

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Anna De Simone
Affiliation: Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Universitá degli Studi “Federico II” di Napoli, Complesso Monte S. Angelo, via Cintia, 80126 Napoli, Italy

Received by editor(s): April 19, 1996
Received by editor(s) in revised form: February 27, 1997
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society