光亮 发表于 2025-3-28 16:33:29

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投射 发表于 2025-3-28 20:21:44

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完全 发表于 2025-3-29 00:24:09

Basic notions,quipped with truncated addition . = min(1, .) and negation 1 - .. We show that every MV-algebra contains a natural lattice-order. The chapter culminates with Chang’s Subdirect Representation Theorem, stating that if an equation holds in all totally ordered MV-algebras, then the equation holds in all MV-algebras.

Lipoprotein 发表于 2025-3-29 04:19:50

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troponins 发表于 2025-3-29 10:26:19

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Injunction 发表于 2025-3-29 13:26:20

,MV-algebras and ℓ-groups,bras. In this chapter we shall prove that Γ is a natural equivalence (i.e., a full, faithful and dense functor) between . and .. As a consequence, a genuine addition can be uniquely recovered from the MV-algebraic structure. Several applications will be discussed.

FAWN 发表于 2025-3-29 16:45:23

Varieties of MV-algebras,ons in .. For instance, when . ø, we obtain the variety . of MV-algebras. When .}, we obtain the variety of trivial MV-algebras. The main aim of this chapter is to describe all varieties of MV-algebras.
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查看完整版本: Titlebook: Algebraic Foundations of Many-Valued Reasoning; Roberto L. O. Cignoli,Itala M. L. D’Ottaviano,Dani Book 2000 Springer Science+Business Med