Holland’s theorem for pseudo-effect algebras
We give two variations of the Holland representation theorem for $ell $-groups and of its generalization of Glass for directed interpolation po-groups as groups of automorphisms of a linearly ordered set or of an antilattice, respectively. We show that every pseudo-effect algebra with some kind of the Riesz decomposition property as well as any pseudo $MV$-algebra can be represented as a pseudo-effect algebra or as a pseudo $MV$-algebra of automorphisms of some antilattice or of some linearly ordered set.
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Dokumenttyp: | model:article |
Schlagwörter: | pseudo-effect algebra / pseudo $MV$-algebra / antilattice / prime ideal / automorphism / unital po-group / unital $ell $-group |
Sprache: | unknown |
Permalink: | https://search.fid-benelux.de/Record/base-26735809 |
Datenquelle: | BASE; Originalkatalog |
Powered By: | BASE |
Link(s) : | https://kramerius.lib.cas.cz/view/uuid:c43256d6-dad5-47be-82ce-e8c8ca4646d1 |