Orthocomplete effect algebras

Jenča, Gejza; Pulmannová, Sylvia

doi:10.1090/S0002-9939-03-06990-9

Orthocomplete effect algebras
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by Gejza Jenča and Sylvia Pulmannová

Proc. Amer. Math. Soc. 131 (2003), 2663-2671

DOI: https://doi.org/10.1090/S0002-9939-03-06990-9

Published electronically: April 1, 2003

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Abstract:

We prove that for every orthocomplete effect algebra $E$ the center of $E$ forms a complete Boolean algebra. As a consequence, every orthocomplete atomic effect algebra is a direct product of irreducible ones.

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