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A Note on Extensions of Generalized Effect Algebras to Effect Algebras

Year: 2026
Type: article
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 ( $$\sigma $$ σ -)complete order ideal in the extension.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W7122620691
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Cites: 4
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