Titlebook: Algebraic Foundations of Many-Valued Reasoning; Roberto L. O. Cignoli,Itala M. L. D’Ottaviano,Dani Book 2000 Springer Science+Business Med

光亮

投射

完全

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

troponins

Injunction

,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

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.