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<p>Good sequences are central to Mundici’s categorical equivalence between MV-algebras and unital <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\ell \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ℓ</mi> </math></EquationSource> </InlineEquation>-groups. We eliminate the reliance on Chang’s subdirect representation theorem traditionally used in the proof, replacing it with an entirely constructive argument based on entailment relations.</p>

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Good sequences without subdirect representation: a constructive treatment of Mundici’s \({{\,\mathrm{\mathbf {\Gamma }}\,}}\) functor

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月15日

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  • Daniel Misselbeck-Wessel

摘要

Good sequences are central to Mundici’s categorical equivalence between MV-algebras and unital \(\ell \) ℓ -groups. We eliminate the reliance on Chang’s subdirect representation theorem traditionally used in the proof, replacing it with an entirely constructive argument based on entailment relations.