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- Title
THE CENTER OF A GENERALIZED EFFECT ALGEBRA.
- Authors
Foulis, D. J.; Pulmannová, S.
- Abstract
In this article, we study the center of a generalized effect algebra (GEA), relate it to the exocenter, and in case the GEA is centrally orthocomplete (a COGEA), relate it to the exocentral cover system. Our main results are that the center of a COGEA is a complete boolean algebra and that a COGEA decomposes uniquely as the direct sum of an effect algebra (EA) that contains the center of the COGEA and a complementary direct summand in which no nonzero direct summand is an EA.
- Subjects
EFFECT algebras; GENERALIZATION; BOOLEAN algebra
- Publication
Demonstratio Mathematica, 2018, Vol 51, Issue 1, p1
- ISSN
0420-1213
- Publication type
Article
- DOI
10.2478/dema-2014-0001