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.
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 ( σ σ -)complete order ideal in the extension.
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Josef Tkadlec (2026) studied this question.
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