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Orthocomplete effect algebras
Author(s):
Gejza
Jenca;
Sylvia
Pulmannová
Journal:
Proc. Amer. Math. Soc.
131
(2003),
2663-2671.
MSC (2000):
Primary 06F05;
Secondary 03G25, 81P10
Posted:
April 1, 2003
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Abstract:
We prove that for every orthocomplete effect algebra  the center of  forms a complete Boolean algebra. As a consequence, every orthocomplete atomic effect algebra is a direct product of irreducible ones.
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Additional Information:
Gejza
Jenca
Affiliation:
Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Ilkovicova 3, 812 19 Bratislava, Slovakia
Email:
jenca@kmat.elf.stuba.sk
Sylvia
Pulmannová
Affiliation:
Mathematical Institute, Slovak Academy of Sciences, Stefánikova 49, 814 73 Bratislava, Slovakia
Email:
pulmann@mat.savba.sk
DOI:
10.1090/S0002-9939-03-06990-9
PII:
S 0002-9939(03)06990-9
Keywords:
Effect algebra,
central element,
orthocomplete
Received by editor(s):
April 3, 2002
Posted:
April 1, 2003
Additional Notes:
This research was supported by grant G-1/7625/20 of MS SR, Slovakia and grant VEGA 2/7193/20
Communicated by:
Lance W. Small
Copyright of article:
Copyright
2003,
American Mathematical Society
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