# Decomposition of group-valued measures on orthoalgebras

Fundamenta Mathematicae (1998)

- Volume: 158, Issue: 2, page 109-124
- ISSN: 0016-2736

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topDe Lucia, Paolo, and Morales, Pedro. "Decomposition of group-valued measures on orthoalgebras." Fundamenta Mathematicae 158.2 (1998): 109-124. <http://eudml.org/doc/212306>.

@article{DeLucia1998,

abstract = {We present a general decomposition theorem for a positive inner regular finitely additive measure on an orthoalgebra L with values in an ordered topological group G, not necessarily commutative. In the case where L is a Boolean algebra, we establish the uniqueness of such a decomposition. With mild extra hypotheses on G, we extend this Boolean decomposition, preserving the uniqueness, to the case where the measure is order bounded instead of being positive. This last result generalizes A. D. Aleksandrov's classical decomposition theorem.},

author = {De Lucia, Paolo, Morales, Pedro},

journal = {Fundamenta Mathematicae},

keywords = {group-valued measures; orthoalgebra; orthomodular posets; decomposition},

language = {eng},

number = {2},

pages = {109-124},

title = {Decomposition of group-valued measures on orthoalgebras},

url = {http://eudml.org/doc/212306},

volume = {158},

year = {1998},

}

TY - JOUR

AU - De Lucia, Paolo

AU - Morales, Pedro

TI - Decomposition of group-valued measures on orthoalgebras

JO - Fundamenta Mathematicae

PY - 1998

VL - 158

IS - 2

SP - 109

EP - 124

AB - We present a general decomposition theorem for a positive inner regular finitely additive measure on an orthoalgebra L with values in an ordered topological group G, not necessarily commutative. In the case where L is a Boolean algebra, we establish the uniqueness of such a decomposition. With mild extra hypotheses on G, we extend this Boolean decomposition, preserving the uniqueness, to the case where the measure is order bounded instead of being positive. This last result generalizes A. D. Aleksandrov's classical decomposition theorem.

LA - eng

KW - group-valued measures; orthoalgebra; orthomodular posets; decomposition

UR - http://eudml.org/doc/212306

ER -

## References

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