A Note on Extensions of Generalized Effect Algebras to Effect Algebras
Abstract We present an example that the usual natural extension of a generalized effect algebra to an effect algebra need not preserve infinite suprema, i.e., the original generalized effect algebra need not be a ( $$\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>σ</mml:mi> </mml:math> -)complete order ideal in the extension.
Authors
- Josef Tkadlec (ORCID: https://orcid.org/0000-0002-1097-9684)
Institutions
- Czech Technical University in Prague (CZ)
Publication Details
- Journal
- International Journal of Theoretical Physics
- Published
- 2026-01-12
- DOI
- https://doi.org/10.1007/s10773-025-06207-y
- Primary Topic
- Advanced Algebra and Logic
- Type
- article
- Field-Weighted Citation Impact
- 0.00