Title of article
The Exocenter of a Generalized Effect Algebra
Author/Authors
Foulis، نويسنده , , David J. and Pulmannovل، نويسنده , , Sylvia، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
25
From page
347
To page
371
Abstract
Elements of the exocenter of a generalized effect algebra (GEA) correspond to decompositions of the GEA as a direct sum and thus the exocenter is a generalization to GEAs of the center of an effect algebra. The exocenter of a GEA is shown to be a boolean algebra, and the notion of a hull mapping for an effect algebra is generalized to a hull system for a GEA. We study Dedekind orthocompleteness of GEAs and extend to GEAs the notion of a centrally orthocomplete effect algebra.
Keywords
Effect algebra , Unitization , Boolean algebra , Ideal , orthosummable family , central orthocompleteness , center , exocentral cover , exocenter , ?-invariance , hull system , Dedekind orthocompleteness
Journal title
Reports on Mathematical Physics
Serial Year
2011
Journal title
Reports on Mathematical Physics
Record number
1990485
Link To Document